LCM for 55 and 4000

What's the Least Common Multiple (LCM) of 55 and 4000?

Answer: LCM of 55 and 4000 is 44,000

(Forty-four thousand)

Finding LCM for 55 and 4000 using GCF's of these numbers

The first method to find LCM for numbers 55 and 4000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 55 and 4000 is 5, so

LCM = (55 × 4000) ÷ 5

LCM = 220000 ÷ 5

LCM = 44000

Finding LCM for 55 and 4000 by Listing Multiples

The second method to find LCM for numbers 55 and 4000 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935, 990, 1045, 1100, 1155, 1210, 1265, 1320, 1375, 1430, 1485, 1540, 1595, 1650, 1705, 1760, 1815, 1870, 1925, 1980, 2035, 2090, 2145, 2200, 2255, 2310, 2365, 2420, 2475, 2530, 2585, 2640, 2695, 2750, 2805, 2860, 2915, 2970, 3025, 3080, 3135, 3190, 3245, 3300, 3355, 3410, 3465, 3520, 3575, 3630, 3685, 3740, 3795, 3850, 3905, 3960, 4015, 4070, 4125, 4180, 4235, 4290, 4345, 4400, 4455, 4510, 4565, 4620, 4675, 4730, 4785, 4840, 4895, 4950, 5005, 5060, 5115, 5170, 5225, 5280, 5335, 5390, 5445, 5500, 5555, 5610, 5665, 5720, 5775, 5830, 5885, 5940, 5995, 6050, 6105, 6160, 6215, 6270, 6325, 6380, 6435, 6490, 6545, 6600, 6655, 6710, 6765, 6820, 6875, 6930, 6985, 7040, 7095, 7150, 7205, 7260, 7315, 7370, 7425, 7480, 7535, 7590, 7645, 7700, 7755, 7810, 7865, 7920, 7975, 8030, 8085, 8140, 8195, 8250, 8305, 8360, 8415, 8470, 8525, 8580, 8635, 8690, 8745, 8800, 8855, 8910, 8965, 9020, 9075, 9130, 9185, 9240, 9295, 9350, 9405, 9460, 9515, 9570, 9625, 9680, 9735, 9790, 9845, 9900, 9955, 10010, 10065, 10120, 10175, 10230, 10285, 10340, 10395, 10450, 10505, 10560, 10615, 10670, 10725, 10780, 10835, 10890, 10945, 11000, 11055, 11110, 11165, 11220, 11275, 11330, 11385, 11440, 11495, 11550, 11605, 11660, 11715, 11770, 11825, 11880, 11935, 11990, 12045, 12100, 12155, 12210, 12265, 12320, 12375, 12430, 12485, 12540, 12595, 12650, 12705, 12760, 12815, 12870, 12925, 12980, 13035, 13090, 13145, 13200, 13255, 13310, 13365, 13420, 13475, 13530, 13585, 13640, 13695, 13750, 13805, 13860, 13915, 13970, 14025, 14080, 14135, 14190, 14245, 14300, 14355, 14410, 14465, 14520, 14575, 14630, 14685, 14740, 14795, 14850, 14905, 14960, 15015, 15070, 15125, 15180, 15235, 15290, 15345, 15400, 15455, 15510, 15565, 15620, 15675, 15730, 15785, 15840, 15895, 15950, 16005, 16060, 16115, 16170, 16225, 16280, 16335, 16390, 16445, 16500, 16555, 16610, 16665, 16720, 16775, 16830, 16885, 16940, 16995, 17050, 17105, 17160, 17215, 17270, 17325, 17380, 17435, 17490, 17545, 17600, 17655, 17710, 17765, 17820, 17875, 17930, 17985, 18040, 18095, 18150, 18205, 18260, 18315, 18370, 18425, 18480, 18535, 18590, 18645, 18700, 18755, 18810, 18865, 18920, 18975, 19030, 19085, 19140, 19195, 19250, 19305, 19360, 19415, 19470, 19525, 19580, 19635, 19690, 19745, 19800, 19855, 19910, 19965, 20020, 20075, 20130, 20185, 20240, 20295, 20350, 20405, 20460, 20515, 20570, 20625, 20680, 20735, 20790, 20845, 20900, 20955, 21010, 21065, 21120, 21175, 21230, 21285, 21340, 21395, 21450, 21505, 21560, 21615, 21670, 21725, 21780, 21835, 21890, 21945, 22000, 22055, 22110, 22165, 22220, 22275, 22330, 22385, 22440, 22495, 22550, 22605, 22660, 22715, 22770, 22825, 22880, 22935, 22990, 23045, 23100, 23155, 23210, 23265, 23320, 23375, 23430, 23485, 23540, 23595, 23650, 23705, 23760, 23815, 23870, 23925, 23980, 24035, 24090, 24145, 24200, 24255, 24310, 24365, 24420, 24475, 24530, 24585, 24640, 24695, 24750, 24805, 24860, 24915, 24970, 25025, 25080, 25135, 25190, 25245, 25300, 25355, 25410, 25465, 25520, 25575, 25630, 25685, 25740, 25795, 25850, 25905, 25960, 26015, 26070, 26125, 26180, 26235, 26290, 26345, 26400, 26455, 26510, 26565, 26620, 26675, 26730, 26785, 26840, 26895, 26950, 27005, 27060, 27115, 27170, 27225, 27280, 27335, 27390, 27445, 27500, 27555, 27610, 27665, 27720, 27775, 27830, 27885, 27940, 27995, 28050, 28105, 28160, 28215, 28270, 28325, 28380, 28435, 28490, 28545, 28600, 28655, 28710, 28765, 28820, 28875, 28930, 28985, 29040, 29095, 29150, 29205, 29260, 29315, 29370, 29425, 29480, 29535, 29590, 29645, 29700, 29755, 29810, 29865, 29920, 29975, 30030, 30085, 30140, 30195, 30250, 30305, 30360, 30415, 30470, 30525, 30580, 30635, 30690, 30745, 30800, 30855, 30910, 30965, 31020, 31075, 31130, 31185, 31240, 31295, 31350, 31405, 31460, 31515, 31570, 31625, 31680, 31735, 31790, 31845, 31900, 31955, 32010, 32065, 32120, 32175, 32230, 32285, 32340, 32395, 32450, 32505, 32560, 32615, 32670, 32725, 32780, 32835, 32890, 32945, 33000, 33055, 33110, 33165, 33220, 33275, 33330, 33385, 33440, 33495, 33550, 33605, 33660, 33715, 33770, 33825, 33880, 33935, 33990, 34045, 34100, 34155, 34210, 34265, 34320, 34375, 34430, 34485, 34540, 34595, 34650, 34705, 34760, 34815, 34870, 34925, 34980, 35035, 35090, 35145, 35200, 35255, 35310, 35365, 35420, 35475, 35530, 35585, 35640, 35695, 35750, 35805, 35860, 35915, 35970, 36025, 36080, 36135, 36190, 36245, 36300, 36355, 36410, 36465, 36520, 36575, 36630, 36685, 36740, 36795, 36850, 36905, 36960, 37015, 37070, 37125, 37180, 37235, 37290, 37345, 37400, 37455, 37510, 37565, 37620, 37675, 37730, 37785, 37840, 37895, 37950, 38005, 38060, 38115, 38170, 38225, 38280, 38335, 38390, 38445, 38500, 38555, 38610, 38665, 38720, 38775, 38830, 38885, 38940, 38995, 39050, 39105, 39160, 39215, 39270, 39325, 39380, 39435, 39490, 39545, 39600, 39655, 39710, 39765, 39820, 39875, 39930, 39985, 40040, 40095, 40150, 40205, 40260, 40315, 40370, 40425, 40480, 40535, 40590, 40645, 40700, 40755, 40810, 40865, 40920, 40975, 41030, 41085, 41140, 41195, 41250, 41305, 41360, 41415, 41470, 41525, 41580, 41635, 41690, 41745, 41800, 41855, 41910, 41965, 42020, 42075, 42130, 42185, 42240, 42295, 42350, 42405, 42460, 42515, 42570, 42625, 42680, 42735, 42790, 42845, 42900, 42955, 43010, 43065, 43120, 43175, 43230, 43285, 43340, 43395, 43450, 43505, 43560, 43615, 43670, 43725, 43780, 43835, 43890, 43945, 44000, 44055, 44110

Multiples of 4000: 4000, 8000, 12000, 16000, 20000, 24000, 28000, 32000, 36000, 40000, 44000, 48000, 52000

So the LCM for 55 and 4000 is 44000

Finding LCM for 55 and 4000 by Prime Factorization

Another method to find LCM for numbers 55 and 4000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 55: 5, 11 (exponent form: 51, 111)

All Prime Factors of 4000: 2, 2, 2, 2, 2, 5, 5, 5 (exponent form: 25, 53)

53 × 111 × 25 = 44000

Related Calculations

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 55 and 4000? (The answer is: 44000). Select the first number (e.g. '55') and the second number (e.g. '4000'). After that hit the 'Calculate' button.
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

LCM Table

Number 1Number 2LCM
4040004000
414000164000
42400084000
434000172000
44400044000
45400036000
46400092000
474000188000
48400012000
494000196000
5040004000
514000204000
52400052000
534000212000
544000108000
554000
56400028000
574000228000
584000116000
594000236000
60400012000
614000244000
624000124000
634000252000
6440008000
65400052000
664000132000
674000268000
68400068000
694000276000

FAQ

What's the Least Common Multiple (LCM) of 55 and 4000?

LCM of 55 and 4000 is 44,000