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What is the Least Common Multiple of 8657 and 8666?

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 8657 and 8666 is 75021562.

LCM(8657,8666) = 75021562

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Least Common Multiple of 8657 and 8666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8657 and 8666, than apply into the LCM equation.

GCF(8657,8666) = 1
LCM(8657,8666) = ( 8657 × 8666) / 1
LCM(8657,8666) = 75021562 / 1
LCM(8657,8666) = 75021562

Least Common Multiple (LCM) of 8657 and 8666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8657 and 8666. First we will calculate the prime factors of 8657 and 8666.

Prime Factorization of 8657

Prime factors of 8657 are 11, 787. Prime factorization of 8657 in exponential form is:

8657 = 111 × 7871

Prime Factorization of 8666

Prime factors of 8666 are 2, 7, 619. Prime factorization of 8666 in exponential form is:

8666 = 21 × 71 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 8657 and 8666.

LCM(8657,8666) = 111 × 7871 × 21 × 71 × 6191
LCM(8657,8666) = 75021562