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What is the Least Common Multiple of 3931 and 3949?

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 3931 and 3949 is 15523519.

LCM(3931,3949) = 15523519

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Least Common Multiple of 3931 and 3949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3931 and 3949, than apply into the LCM equation.

GCF(3931,3949) = 1
LCM(3931,3949) = ( 3931 × 3949) / 1
LCM(3931,3949) = 15523519 / 1
LCM(3931,3949) = 15523519

Least Common Multiple (LCM) of 3931 and 3949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3931 and 3949. First we will calculate the prime factors of 3931 and 3949.

Prime Factorization of 3931

Prime factors of 3931 are 3931. Prime factorization of 3931 in exponential form is:

3931 = 39311

Prime Factorization of 3949

Prime factors of 3949 are 11, 359. Prime factorization of 3949 in exponential form is:

3949 = 111 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3931 and 3949.

LCM(3931,3949) = 39311 × 111 × 3591
LCM(3931,3949) = 15523519