LCM for 39 and 65

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What's the Least Common Multiple (LCM) of 39 and 65?

Answer

LCM of 39 and 65 is
195

First common multiples: 195, 390, 585, …

195 is divisible by both: 195 ÷ 39 = 5, 195 ÷ 65 = 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/39 by 5 and of y/65 by 3.

39 = 3 × 13

65 = 5 × 13

Prime3965Highest power
33—3
5—55
13131313

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

LCM = 3 × 5 × 13 = 195

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LCM Table

Number 1Number 2LCM
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
3969897
39702,730
39712,769
3972936
39732,847
39742,886
3975975
39762,964
39773,003
397878
39793,081

FAQ

What's the Least Common Multiple (LCM) of 39 and 65?

LCM of 39 and 65 is 195

How to find the LCM of 39 and 65 using prime factorization?

To find the LCM of 39 and 65, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 195.

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 65: LCM = 195, GCF = 13.

See Also