LCM for 39 and 54

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What's the Least Common Multiple (LCM) of 39 and 54?

Answer

LCM of 39 and 54 is
702

First common multiples: 702; 1,404; 2,106; …

702 is divisible by both: 702 ÷ 39 = 18, 702 ÷ 54 = 13 — and 18 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/39 by 18 and of y/54 by 13.

39 = 3 × 13

54 = 2 × 33

Prime3954Highest power
2—22
333333
1313—13

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

LCM = 2 × 33 × 13 = 702

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LCM Table

Number 1Number 2LCM
393939
39401,560
39411,599
3942546
39431,677
39441,716
3945585
39461,794
39471,833
3948624
39491,911
39501,950
3951663
3952156
39532,067
3954702
39552,145
39562,184
3957741
39582,262
39592,301
3960780
39612,379
39622,418
3963819
39642,496
3965195
3966858
39672,613
39682,652

FAQ

What's the Least Common Multiple (LCM) of 39 and 54?

LCM of 39 and 54 is 702

How to find the LCM of 39 and 54 using prime factorization?

To find the LCM of 39 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 702.

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 39 and 54: LCM = 702, GCF = 3.

See Also