LCM for 52 and 78

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What's the Least Common Multiple (LCM) of 52 and 78?

Answer

LCM of 52 and 78 is
156

First common multiples: 156, 312, 468, …

156 is divisible by both: 156 ÷ 52 = 3, 156 ÷ 78 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/52 by 3 and of y/78 by 2.

52 = 22 × 13

78 = 2 × 3 × 13

Prime5278Highest power
222222
3—33
13131313

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 3 × 13 = 156

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LCM Table

Number 1Number 2LCM
52633,276
5264832
5265260
52661,716
52673,484
5268884
52693,588
52701,820
52713,692
5272936
52733,796
52741,924
52753,900
5276988
52774,004
5278156
52794,108
52801,040
52814,212
52822,132
52834,316
52841,092
52854,420
52862,236
52874,524
52881,144
52894,628
52902,340
5291364
52921,196

FAQ

What's the Least Common Multiple (LCM) of 52 and 78?

LCM of 52 and 78 is 156

How to find the LCM of 52 and 78 using prime factorization?

To find the LCM of 52 and 78, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 156.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 52 and 78: LCM = 156, GCF = 26.

See Also