LCM for 51 and 85

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What's the Least Common Multiple (LCM) of 51 and 85?

Answer

LCM of 51 and 85 is
255

First common multiples: 255, 510, 765, …

255 is divisible by both: 255 ÷ 51 = 5, 255 ÷ 85 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/51 by 5 and of y/85 by 3.

51 = 3 × 17

85 = 5 × 17

Prime5185Highest power
33—3
5—55
17171717

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

LCM = 3 × 5 × 17 = 255

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LCM Table

Number 1Number 2LCM
51703,570
51713,621
51721,224
51733,723
51743,774
51751,275
51763,876
51773,927
51781,326
51794,029
51804,080
51811,377
51824,182
51834,233
51841,428
5185255
51864,386
51871,479
51884,488
51894,539
51901,530
51914,641
51924,692
51931,581
51944,794
51954,845
51961,632
51974,947
51984,998
51991,683

FAQ

What's the Least Common Multiple (LCM) of 51 and 85?

LCM of 51 and 85 is 255

How to find the LCM of 51 and 85 using prime factorization?

To find the LCM of 51 and 85, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 255.

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 51 and 85: LCM = 255, GCF = 17.

See Also