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What is the Least Common Multiple of 3921 and 3931?

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 3921 and 3931 is 15413451.

LCM(3921,3931) = 15413451

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Least Common Multiple of 3921 and 3931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3921 and 3931, than apply into the LCM equation.

GCF(3921,3931) = 1
LCM(3921,3931) = ( 3921 × 3931) / 1
LCM(3921,3931) = 15413451 / 1
LCM(3921,3931) = 15413451

Least Common Multiple (LCM) of 3921 and 3931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3921 and 3931. First we will calculate the prime factors of 3921 and 3931.

Prime Factorization of 3921

Prime factors of 3921 are 3, 1307. Prime factorization of 3921 in exponential form is:

3921 = 31 × 13071

Prime Factorization of 3931

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

3931 = 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 3921 and 3931.

LCM(3921,3931) = 31 × 13071 × 39311
LCM(3921,3931) = 15413451