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What is the Least Common Multiple of 8646 and 8651?

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 8646 and 8651 is 74796546.

LCM(8646,8651) = 74796546

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Least Common Multiple of 8646 and 8651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8646 and 8651, than apply into the LCM equation.

GCF(8646,8651) = 1
LCM(8646,8651) = ( 8646 × 8651) / 1
LCM(8646,8651) = 74796546 / 1
LCM(8646,8651) = 74796546

Least Common Multiple (LCM) of 8646 and 8651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8646 and 8651. First we will calculate the prime factors of 8646 and 8651.

Prime Factorization of 8646

Prime factors of 8646 are 2, 3, 11, 131. Prime factorization of 8646 in exponential form is:

8646 = 21 × 31 × 111 × 1311

Prime Factorization of 8651

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

8651 = 411 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8646 and 8651.

LCM(8646,8651) = 21 × 31 × 111 × 1311 × 411 × 2111
LCM(8646,8651) = 74796546