LCM for 85 and 170
What's the Least Common Multiple (LCM) of 85 and 170?
(One hundred seventy)
Finding LCM for 85 and 170 using GCF's of these numbers
The first method to find LCM for numbers 85 and 170 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 85 and 170 is 85, so
LCM = (85 × 170) ÷ 85
LCM = 14450 ÷ 85
LCM = 170
Finding LCM for 85 and 170 by Listing Multiples
The second method to find LCM for numbers 85 and 170 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 85: 85, 170, 255, 340
Multiples of 170: 170, 340, 510, 680, 850, 1020, 1190, 1360, 1530, 1700, 1870, 2040, 2210, 2380, 2550, 2720, 2890, 3060, 3230, 3400, 3570, 3740, 3910, 4080, 4250, 4420, 4590, 4760, 4930, 5100, 5270, 5440, 5610, 5780, 5950, 6120, 6290, 6460, 6630, 6800, 6970, 7140, 7310, 7480, 7650, 7820, 7990, 8160, 8330, 8500, 8670, 8840, 9010, 9180, 9350, 9520, 9690, 9860, 10030, 10200, 10370, 10540, 10710, 10880, 11050, 11220, 11390, 11560, 11730, 11900, 12070, 12240, 12410, 12580, 12750, 12920, 13090, 13260, 13430, 13600, 13770, 13940, 14110, 14280, 14450, 14620, 14790, 14960, 15130, 15300, 15470, 15640, 15810, 15980, 16150, 16320, 16490, 16660, 16830, 17000, 17170, 17340, 17510, 17680, 17850, 18020, 18190, 18360, 18530, 18700, 18870, 19040, 19210, 19380, 19550, 19720, 19890, 20060, 20230, 20400, 20570, 20740, 20910, 21080, 21250, 21420, 21590, 21760, 21930, 22100, 22270, 22440, 22610, 22780, 22950, 23120, 23290, 23460, 23630, 23800, 23970, 24140, 24310, 24480, 24650, 24820, 24990, 25160, 25330, 25500, 25670, 25840, 26010, 26180, 26350, 26520, 26690, 26860, 27030, 27200, 27370, 27540, 27710, 27880, 28050, 28220, 28390, 28560, 28730, 28900, 29070, 29240, 29410, 29580, 29750, 29920, 30090, 30260, 30430, 30600, 30770, 30940, 31110, 31280, 31450, 31620, 31790, 31960, 32130, 32300, 32470, 32640, 32810, 32980, 33150, 33320, 33490, 33660, 33830, 34000, 34170, 34340, 34510, 34680, 34850, 35020, 35190, 35360, 35530, 35700, 35870, 36040, 36210, 36380, 36550, 36720, 36890, 37060, 37230, 37400, 37570, 37740, 37910, 38080, 38250, 38420, 38590, 38760, 38930, 39100, 39270, 39440, 39610, 39780, 39950, 40120, 40290, 40460, 40630, 40800, 40970, 41140, 41310, 41480, 41650, 41820, 41990, 42160, 42330, 42500, 42670, 42840, 43010, 43180, 43350, 43520, 43690, 43860, 44030, 44200, 44370, 44540, 44710, 44880, 45050, 45220, 45390, 45560, 45730, 45900, 46070, 46240, 46410, 46580, 46750, 46920, 47090, 47260, 47430, 47600, 47770, 47940, 48110, 48280, 48450, 48620, 48790, 48960, 49130, 49300, 49470, 49640, 49810, 49980, 50150, 50320, 50490, 50660, 50830, 51000, 51170, 51340, 51510, 51680, 51850, 52020, 52190, 52360, 52530, 52700, 52870, 53040, 53210, 53380, 53550, 53720, 53890, 54060, 54230, 54400, 54570, 54740, 54910, 55080, 55250, 55420, 55590, 55760, 55930, 56100, 56270, 56440, 56610, 56780, 56950, 57120, 57290, 57460, 57630, 57800, 57970, 58140, 58310, 58480, 58650, 58820, 58990, 59160, 59330, 59500, 59670, 59840, 60010, 60180, 60350, 60520, 60690, 60860, 61030, 61200, 61370, 61540, 61710, 61880, 62050, 62220, 62390, 62560, 62730, 62900, 63070, 63240, 63410, 63580, 63750, 63920, 64090, 64260, 64430, 64600, 64770, 64940, 65110, 65280, 65450, 65620, 65790, 65960, 66130, 66300, 66470, 66640, 66810, 66980, 67150, 67320, 67490, 67660, 67830, 68000, 68170, 68340, 68510, 68680, 68850, 69020, 69190, 69360, 69530, 69700, 69870, 70040, 70210, 70380, 70550, 70720, 70890, 71060, 71230, 71400, 71570, 71740, 71910, 72080, 72250, 72420, 72590, 72760, 72930, 73100, 73270, 73440, 73610, 73780, 73950, 74120, 74290, 74460, 74630, 74800, 74970, 75140, 75310, 75480, 75650, 75820, 75990, 76160, 76330, 76500, 76670, 76840, 77010, 77180, 77350, 77520, 77690, 77860, 78030, 78200, 78370, 78540, 78710, 78880, 79050, 79220, 79390, 79560, 79730, 79900, 80070, 80240, 80410, 80580, 80750, 80920, 81090, 81260, 81430, 81600, 81770, 81940, 82110, 82280, 82450, 82620, 82790, 82960, 83130, 83300, 83470, 83640, 83810, 83980, 84150, 84320, 84490, 84660, 84830, 85000, 85170, 85340, 85510, 85680, 85850, 86020, 86190, 86360, 86530, 86700, 86870, 87040, 87210, 87380, 87550, 87720, 87890, 88060, 88230, 88400, 88570, 88740, 88910, 89080, 89250, 89420, 89590, 89760, 89930, 90100, 90270, 90440, 90610, 90780, 90950, 91120, 91290, 91460, 91630, 91800, 91970, 92140, 92310, 92480, 92650, 92820, 92990, 93160, 93330, 93500, 93670, 93840, 94010, 94180, 94350, 94520, 94690, 94860, 95030, 95200, 95370, 95540, 95710, 95880, 96050, 96220, 96390, 96560, 96730, 96900, 97070, 97240, 97410, 97580, 97750, 97920, 98090, 98260, 98430, 98600, 98770, 98940, 99110, 99280, 99450, 99620, 99790, 99960, 100130, 100300, 100470, 100640, 100810, 100980, 101150, 101320, 101490, 101660, 101830, 102000, 102170, 102340, 102510, 102680, 102850, 103020, 103190, 103360, 103530, 103700, 103870, 104040, 104210, 104380, 104550, 104720, 104890, 105060, 105230, 105400, 105570, 105740, 105910, 106080, 106250, 106420, 106590, 106760, 106930, 107100, 107270, 107440, 107610, 107780, 107950, 108120, 108290, 108460, 108630, 108800, 108970, 109140, 109310, 109480, 109650, 109820, 109990, 110160, 110330, 110500, 110670, 110840, 111010, 111180, 111350, 111520, 111690, 111860, 112030, 112200, 112370, 112540, 112710, 112880, 113050, 113220, 113390, 113560, 113730, 113900, 114070, 114240, 114410, 114580, 114750, 114920, 115090, 115260, 115430, 115600, 115770, 115940, 116110, 116280, 116450, 116620, 116790, 116960, 117130, 117300, 117470, 117640, 117810, 117980, 118150, 118320, 118490, 118660, 118830, 119000, 119170, 119340, 119510, 119680, 119850, 120020, 120190, 120360, 120530, 120700, 120870, 121040, 121210, 121380, 121550, 121720, 121890, 122060, 122230, 122400, 122570, 122740, 122910, 123080, 123250, 123420, 123590, 123760, 123930, 124100, 124270, 124440, 124610, 124780, 124950, 125120, 125290, 125460, 125630, 125800, 125970, 126140, 126310, 126480, 126650, 126820, 126990, 127160, 127330, 127500, 127670, 127840, 128010, 128180, 128350, 128520, 128690, 128860, 129030, 129200, 129370, 129540, 129710, 129880, 130050, 130220, 130390, 130560, 130730, 130900, 131070, 131240, 131410, 131580, 131750, 131920, 132090, 132260, 132430, 132600, 132770, 132940, 133110, 133280, 133450, 133620, 133790, 133960, 134130, 134300, 134470, 134640, 134810, 134980, 135150, 135320, 135490, 135660, 135830, 136000, 136170, 136340, 136510, 136680, 136850, 137020, 137190, 137360, 137530, 137700, 137870, 138040, 138210, 138380, 138550, 138720, 138890, 139060, 139230, 139400, 139570, 139740, 139910, 140080, 140250, 140420, 140590, 140760, 140930, 141100, 141270, 141440, 141610, 141780, 141950, 142120, 142290, 142460, 142630, 142800, 142970, 143140, 143310, 143480, 143650, 143820, 143990, 144160, 144330, 144500, 144670, 144840, 145010, 145180, 145350, 145520, 145690, 145860, 146030, 146200, 146370, 146540, 146710, 146880, 147050, 147220, 147390, 147560, 147730, 147900, 148070, 148240, 148410, 148580, 148750, 148920, 149090, 149260, 149430, 149600, 149770, 149940, 150110, 150280, 150450, 150620, 150790, 150960, 151130, 151300, 151470, 151640, 151810, 151980, 152150, 152320, 152490, 152660, 152830, 153000, 153170, 153340, 153510, 153680, 153850, 154020, 154190, 154360, 154530, 154700, 154870, 155040, 155210, 155380, 155550, 155720, 155890, 156060, 156230, 156400, 156570, 156740, 156910, 157080, 157250, 157420, 157590, 157760, 157930, 158100, 158270, 158440, 158610, 158780, 158950, 159120, 159290, 159460, 159630, 159800, 159970, 160140, 160310, 160480, 160650, 160820, 160990, 161160, 161330, 161500, 161670, 161840, 162010, 162180, 162350, 162520, 162690, 162860, 163030, 163200, 163370, 163540, 163710, 163880, 164050, 164220, 164390, 164560, 164730, 164900, 165070, 165240, 165410, 165580, 165750, 165920, 166090, 166260, 166430, 166600, 166770, 166940, 167110, 167280, 167450, 167620, 167790, 167960, 168130, 168300, 168470, 168640, 168810, 168980, 169150, 169320, 169490, 169660, 169830, 170000, [...], 170
So the LCM for 85 and 170 is 170
Finding LCM for 85 and 170 by Prime Factorization
Another method to find LCM for numbers 85 and 170 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 85: 5, 17 (exponent form: 51, 171)
All Prime Factors of 170: 2, 5, 17 (exponent form: 21, 51, 171)
51 × 171 × 21 = 170
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
70 | 170 | 1190 |
71 | 170 | 12070 |
72 | 170 | 6120 |
73 | 170 | 12410 |
74 | 170 | 6290 |
75 | 170 | 2550 |
76 | 170 | 6460 |
77 | 170 | 13090 |
78 | 170 | 6630 |
79 | 170 | 13430 |
80 | 170 | 1360 |
81 | 170 | 13770 |
82 | 170 | 6970 |
83 | 170 | 14110 |
84 | 170 | 7140 |
85 | 170 | 170 |
86 | 170 | 7310 |
87 | 170 | 14790 |
88 | 170 | 7480 |
89 | 170 | 15130 |
90 | 170 | 1530 |
91 | 170 | 15470 |
92 | 170 | 7820 |
93 | 170 | 15810 |
94 | 170 | 7990 |
95 | 170 | 3230 |
96 | 170 | 8160 |
97 | 170 | 16490 |
98 | 170 | 8330 |
99 | 170 | 16830 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers