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What is the Least Common Multiple of 99646 and 99651?

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 99646 and 99651 is 9929823546.

LCM(99646,99651) = 9929823546

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Least Common Multiple of 99646 and 99651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99646 and 99651, than apply into the LCM equation.

GCF(99646,99651) = 1
LCM(99646,99651) = ( 99646 × 99651) / 1
LCM(99646,99651) = 9929823546 / 1
LCM(99646,99651) = 9929823546

Least Common Multiple (LCM) of 99646 and 99651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99646 and 99651. First we will calculate the prime factors of 99646 and 99651.

Prime Factorization of 99646

Prime factors of 99646 are 2, 49823. Prime factorization of 99646 in exponential form is:

99646 = 21 × 498231

Prime Factorization of 99651

Prime factors of 99651 are 3, 59, 563. Prime factorization of 99651 in exponential form is:

99651 = 31 × 591 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 99646 and 99651.

LCM(99646,99651) = 21 × 498231 × 31 × 591 × 5631
LCM(99646,99651) = 9929823546