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What is the Least Common Multiple of 3924 and 3939?

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 3924 and 3939 is 5152212.

LCM(3924,3939) = 5152212

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Least Common Multiple of 3924 and 3939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3924 and 3939, than apply into the LCM equation.

GCF(3924,3939) = 3
LCM(3924,3939) = ( 3924 × 3939) / 3
LCM(3924,3939) = 15456636 / 3
LCM(3924,3939) = 5152212

Least Common Multiple (LCM) of 3924 and 3939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3924 and 3939. First we will calculate the prime factors of 3924 and 3939.

Prime Factorization of 3924

Prime factors of 3924 are 2, 3, 109. Prime factorization of 3924 in exponential form is:

3924 = 22 × 32 × 1091

Prime Factorization of 3939

Prime factors of 3939 are 3, 13, 101. Prime factorization of 3939 in exponential form is:

3939 = 31 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3924 and 3939.

LCM(3924,3939) = 22 × 32 × 1091 × 131 × 1011
LCM(3924,3939) = 5152212