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What is the Least Common Multiple of 13939 and 13957?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13939 and 13957 is 194546623.

LCM(13939,13957) = 194546623

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Least Common Multiple of 13939 and 13957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13939 and 13957, than apply into the LCM equation.

GCF(13939,13957) = 1
LCM(13939,13957) = ( 13939 × 13957) / 1
LCM(13939,13957) = 194546623 / 1
LCM(13939,13957) = 194546623

Least Common Multiple (LCM) of 13939 and 13957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13939 and 13957. First we will calculate the prime factors of 13939 and 13957.

Prime Factorization of 13939

Prime factors of 13939 are 53, 263. Prime factorization of 13939 in exponential form is:

13939 = 531 × 2631

Prime Factorization of 13957

Prime factors of 13957 are 17, 821. Prime factorization of 13957 in exponential form is:

13957 = 171 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 13939 and 13957.

LCM(13939,13957) = 531 × 2631 × 171 × 8211
LCM(13939,13957) = 194546623