LCM for 15 and 30
What's the Least Common Multiple (LCM) of 15 and 30?
(Thirty)
Finding LCM for 15 and 30 using GCF's of these numbers
The first method to find LCM for numbers 15 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 30 is 15, so
LCM = (15 × 30) ÷ 15
LCM = 450 ÷ 15
LCM = 30
Finding LCM for 15 and 30 by Listing Multiples
The second method to find LCM for numbers 15 and 30 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 15: 15, 30, 45, 60
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070, 2100, 2130, 2160, 2190, 2220, 2250, 2280, 2310, 2340, 2370, 2400, 2430, 2460, 2490, 2520, 2550, 2580, 2610, 2640, 2670, 2700, 2730, 2760, 2790, 2820, 2850, 2880, 2910, 2940, 2970, 3000, 3030, 3060, 3090, 3120, 3150, 3180, 3210, 3240, 3270, 3300, 3330, 3360, 3390, 3420, 3450, 3480, 3510, 3540, 3570, 3600, 3630, 3660, 3690, 3720, 3750, 3780, 3810, 3840, 3870, 3900, 3930, 3960, 3990, 4020, 4050, 4080, 4110, 4140, 4170, 4200, 4230, 4260, 4290, 4320, 4350, 4380, 4410, 4440, 4470, 4500, 4530, 4560, 4590, 4620, 4650, 4680, 4710, 4740, 4770, 4800, 4830, 4860, 4890, 4920, 4950, 4980, 5010, 5040, 5070, 5100, 5130, 5160, 5190, 5220, 5250, 5280, 5310, 5340, 5370, 5400, 5430, 5460, 5490, 5520, 5550, 5580, 5610, 5640, 5670, 5700, 5730, 5760, 5790, 5820, 5850, 5880, 5910, 5940, 5970, 6000, 6030, 6060, 6090, 6120, 6150, 6180, 6210, 6240, 6270, 6300, 6330, 6360, 6390, 6420, 6450, 6480, 6510, 6540, 6570, 6600, 6630, 6660, 6690, 6720, 6750, 6780, 6810, 6840, 6870, 6900, 6930, 6960, 6990, 7020, 7050, 7080, 7110, 7140, 7170, 7200, 7230, 7260, 7290, 7320, 7350, 7380, 7410, 7440, 7470, 7500, 7530, 7560, 7590, 7620, 7650, 7680, 7710, 7740, 7770, 7800, 7830, 7860, 7890, 7920, 7950, 7980, 8010, 8040, 8070, 8100, 8130, 8160, 8190, 8220, 8250, 8280, 8310, 8340, 8370, 8400, 8430, 8460, 8490, 8520, 8550, 8580, 8610, 8640, 8670, 8700, 8730, 8760, 8790, 8820, 8850, 8880, 8910, 8940, 8970, 9000, 9030, 9060, 9090, 9120, 9150, 9180, 9210, 9240, 9270, 9300, 9330, 9360, 9390, 9420, 9450, 9480, 9510, 9540, 9570, 9600, 9630, 9660, 9690, 9720, 9750, 9780, 9810, 9840, 9870, 9900, 9930, 9960, 9990, 10020, 10050, 10080, 10110, 10140, 10170, 10200, 10230, 10260, 10290, 10320, 10350, 10380, 10410, 10440, 10470, 10500, 10530, 10560, 10590, 10620, 10650, 10680, 10710, 10740, 10770, 10800, 10830, 10860, 10890, 10920, 10950, 10980, 11010, 11040, 11070, 11100, 11130, 11160, 11190, 11220, 11250, 11280, 11310, 11340, 11370, 11400, 11430, 11460, 11490, 11520, 11550, 11580, 11610, 11640, 11670, 11700, 11730, 11760, 11790, 11820, 11850, 11880, 11910, 11940, 11970, 12000, 12030, 12060, 12090, 12120, 12150, 12180, 12210, 12240, 12270, 12300, 12330, 12360, 12390, 12420, 12450, 12480, 12510, 12540, 12570, 12600, 12630, 12660, 12690, 12720, 12750, 12780, 12810, 12840, 12870, 12900, 12930, 12960, 12990, 13020, 13050, 13080, 13110, 13140, 13170, 13200, 13230, 13260, 13290, 13320, 13350, 13380, 13410, 13440, 13470, 13500, 13530, 13560, 13590, 13620, 13650, 13680, 13710, 13740, 13770, 13800, 13830, 13860, 13890, 13920, 13950, 13980, 14010, 14040, 14070, 14100, 14130, 14160, 14190, 14220, 14250, 14280, 14310, 14340, 14370, 14400, 14430, 14460, 14490, 14520, 14550, 14580, 14610, 14640, 14670, 14700, 14730, 14760, 14790, 14820, 14850, 14880, 14910, 14940, 14970, 15000, 15030, 15060, 15090, 15120, 15150, 15180, 15210, 15240, 15270, 15300, 15330, 15360, 15390, 15420, 15450, 15480, 15510, 15540, 15570, 15600, 15630, 15660, 15690, 15720, 15750, 15780, 15810, 15840, 15870, 15900, 15930, 15960, 15990, 16020, 16050, 16080, 16110, 16140, 16170, 16200, 16230, 16260, 16290, 16320, 16350, 16380, 16410, 16440, 16470, 16500, 16530, 16560, 16590, 16620, 16650, 16680, 16710, 16740, 16770, 16800, 16830, 16860, 16890, 16920, 16950, 16980, 17010, 17040, 17070, 17100, 17130, 17160, 17190, 17220, 17250, 17280, 17310, 17340, 17370, 17400, 17430, 17460, 17490, 17520, 17550, 17580, 17610, 17640, 17670, 17700, 17730, 17760, 17790, 17820, 17850, 17880, 17910, 17940, 17970, 18000, 18030, 18060, 18090, 18120, 18150, 18180, 18210, 18240, 18270, 18300, 18330, 18360, 18390, 18420, 18450, 18480, 18510, 18540, 18570, 18600, 18630, 18660, 18690, 18720, 18750, 18780, 18810, 18840, 18870, 18900, 18930, 18960, 18990, 19020, 19050, 19080, 19110, 19140, 19170, 19200, 19230, 19260, 19290, 19320, 19350, 19380, 19410, 19440, 19470, 19500, 19530, 19560, 19590, 19620, 19650, 19680, 19710, 19740, 19770, 19800, 19830, 19860, 19890, 19920, 19950, 19980, 20010, 20040, 20070, 20100, 20130, 20160, 20190, 20220, 20250, 20280, 20310, 20340, 20370, 20400, 20430, 20460, 20490, 20520, 20550, 20580, 20610, 20640, 20670, 20700, 20730, 20760, 20790, 20820, 20850, 20880, 20910, 20940, 20970, 21000, 21030, 21060, 21090, 21120, 21150, 21180, 21210, 21240, 21270, 21300, 21330, 21360, 21390, 21420, 21450, 21480, 21510, 21540, 21570, 21600, 21630, 21660, 21690, 21720, 21750, 21780, 21810, 21840, 21870, 21900, 21930, 21960, 21990, 22020, 22050, 22080, 22110, 22140, 22170, 22200, 22230, 22260, 22290, 22320, 22350, 22380, 22410, 22440, 22470, 22500, 22530, 22560, 22590, 22620, 22650, 22680, 22710, 22740, 22770, 22800, 22830, 22860, 22890, 22920, 22950, 22980, 23010, 23040, 23070, 23100, 23130, 23160, 23190, 23220, 23250, 23280, 23310, 23340, 23370, 23400, 23430, 23460, 23490, 23520, 23550, 23580, 23610, 23640, 23670, 23700, 23730, 23760, 23790, 23820, 23850, 23880, 23910, 23940, 23970, 24000, 24030, 24060, 24090, 24120, 24150, 24180, 24210, 24240, 24270, 24300, 24330, 24360, 24390, 24420, 24450, 24480, 24510, 24540, 24570, 24600, 24630, 24660, 24690, 24720, 24750, 24780, 24810, 24840, 24870, 24900, 24930, 24960, 24990, 25020, 25050, 25080, 25110, 25140, 25170, 25200, 25230, 25260, 25290, 25320, 25350, 25380, 25410, 25440, 25470, 25500, 25530, 25560, 25590, 25620, 25650, 25680, 25710, 25740, 25770, 25800, 25830, 25860, 25890, 25920, 25950, 25980, 26010, 26040, 26070, 26100, 26130, 26160, 26190, 26220, 26250, 26280, 26310, 26340, 26370, 26400, 26430, 26460, 26490, 26520, 26550, 26580, 26610, 26640, 26670, 26700, 26730, 26760, 26790, 26820, 26850, 26880, 26910, 26940, 26970, 27000, 27030, 27060, 27090, 27120, 27150, 27180, 27210, 27240, 27270, 27300, 27330, 27360, 27390, 27420, 27450, 27480, 27510, 27540, 27570, 27600, 27630, 27660, 27690, 27720, 27750, 27780, 27810, 27840, 27870, 27900, 27930, 27960, 27990, 28020, 28050, 28080, 28110, 28140, 28170, 28200, 28230, 28260, 28290, 28320, 28350, 28380, 28410, 28440, 28470, 28500, 28530, 28560, 28590, 28620, 28650, 28680, 28710, 28740, 28770, 28800, 28830, 28860, 28890, 28920, 28950, 28980, 29010, 29040, 29070, 29100, 29130, 29160, 29190, 29220, 29250, 29280, 29310, 29340, 29370, 29400, 29430, 29460, 29490, 29520, 29550, 29580, 29610, 29640, 29670, 29700, 29730, 29760, 29790, 29820, 29850, 29880, 29910, 29940, 29970, 30000, [...], 30
So the LCM for 15 and 30 is 30
Finding LCM for 15 and 30 by Prime Factorization
Another method to find LCM for numbers 15 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
31 × 51 × 21 = 30
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/15--30">What is the LCM of 15 and 30? - Calculatio</a>
LCM Table
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