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What is the Least Common Multiple of 7914 and 7931?

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 7914 and 7931 is 62765934.

LCM(7914,7931) = 62765934

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Least Common Multiple of 7914 and 7931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7914 and 7931, than apply into the LCM equation.

GCF(7914,7931) = 1
LCM(7914,7931) = ( 7914 × 7931) / 1
LCM(7914,7931) = 62765934 / 1
LCM(7914,7931) = 62765934

Least Common Multiple (LCM) of 7914 and 7931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7914 and 7931. First we will calculate the prime factors of 7914 and 7931.

Prime Factorization of 7914

Prime factors of 7914 are 2, 3, 1319. Prime factorization of 7914 in exponential form is:

7914 = 21 × 31 × 13191

Prime Factorization of 7931

Prime factors of 7931 are 7, 11, 103. Prime factorization of 7931 in exponential form is:

7931 = 71 × 111 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7914 and 7931.

LCM(7914,7931) = 21 × 31 × 13191 × 71 × 111 × 1031
LCM(7914,7931) = 62765934