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What is the Least Common Multiple of 10647 and 10651?

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 10647 and 10651 is 113401197.

LCM(10647,10651) = 113401197

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Least Common Multiple of 10647 and 10651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10647 and 10651, than apply into the LCM equation.

GCF(10647,10651) = 1
LCM(10647,10651) = ( 10647 × 10651) / 1
LCM(10647,10651) = 113401197 / 1
LCM(10647,10651) = 113401197

Least Common Multiple (LCM) of 10647 and 10651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10647 and 10651. First we will calculate the prime factors of 10647 and 10651.

Prime Factorization of 10647

Prime factors of 10647 are 3, 7, 13. Prime factorization of 10647 in exponential form is:

10647 = 32 × 71 × 132

Prime Factorization of 10651

Prime factors of 10651 are 10651. Prime factorization of 10651 in exponential form is:

10651 = 106511

Now multiplying the highest exponent prime factors to calculate the LCM of 10647 and 10651.

LCM(10647,10651) = 32 × 71 × 132 × 106511
LCM(10647,10651) = 113401197