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What is the Least Common Multiple of 8651 and 8659?

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 8651 and 8659 is 74909009.

LCM(8651,8659) = 74909009

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Least Common Multiple of 8651 and 8659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8651 and 8659, than apply into the LCM equation.

GCF(8651,8659) = 1
LCM(8651,8659) = ( 8651 × 8659) / 1
LCM(8651,8659) = 74909009 / 1
LCM(8651,8659) = 74909009

Least Common Multiple (LCM) of 8651 and 8659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8651 and 8659. First we will calculate the prime factors of 8651 and 8659.

Prime Factorization of 8651

Prime factors of 8651 are 41, 211. Prime factorization of 8651 in exponential form is:

8651 = 411 × 2111

Prime Factorization of 8659

Prime factors of 8659 are 7, 1237. Prime factorization of 8659 in exponential form is:

8659 = 71 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 8651 and 8659.

LCM(8651,8659) = 411 × 2111 × 71 × 12371
LCM(8651,8659) = 74909009