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What is the Least Common Multiple of 7931 and 7947?

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 7931 and 7947 is 63027657.

LCM(7931,7947) = 63027657

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Least Common Multiple of 7931 and 7947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7931 and 7947, than apply into the LCM equation.

GCF(7931,7947) = 1
LCM(7931,7947) = ( 7931 × 7947) / 1
LCM(7931,7947) = 63027657 / 1
LCM(7931,7947) = 63027657

Least Common Multiple (LCM) of 7931 and 7947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7931 and 7947. First we will calculate the prime factors of 7931 and 7947.

Prime Factorization of 7931

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

7931 = 71 × 111 × 1031

Prime Factorization of 7947

Prime factors of 7947 are 3, 883. Prime factorization of 7947 in exponential form is:

7947 = 32 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 7931 and 7947.

LCM(7931,7947) = 71 × 111 × 1031 × 32 × 8831
LCM(7931,7947) = 63027657