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What is the Least Common Multiple of 7647 and 7657?

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 7647 and 7657 is 58553079.

LCM(7647,7657) = 58553079

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Least Common Multiple of 7647 and 7657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7647 and 7657, than apply into the LCM equation.

GCF(7647,7657) = 1
LCM(7647,7657) = ( 7647 × 7657) / 1
LCM(7647,7657) = 58553079 / 1
LCM(7647,7657) = 58553079

Least Common Multiple (LCM) of 7647 and 7657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7647 and 7657. First we will calculate the prime factors of 7647 and 7657.

Prime Factorization of 7647

Prime factors of 7647 are 3, 2549. Prime factorization of 7647 in exponential form is:

7647 = 31 × 25491

Prime Factorization of 7657

Prime factors of 7657 are 13, 19, 31. Prime factorization of 7657 in exponential form is:

7657 = 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7647 and 7657.

LCM(7647,7657) = 31 × 25491 × 131 × 191 × 311
LCM(7647,7657) = 58553079