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What is the Least Common Multiple of 9621 and 9636?

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 9621 and 9636 is 30902652.

LCM(9621,9636) = 30902652

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Least Common Multiple of 9621 and 9636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9621 and 9636, than apply into the LCM equation.

GCF(9621,9636) = 3
LCM(9621,9636) = ( 9621 × 9636) / 3
LCM(9621,9636) = 92707956 / 3
LCM(9621,9636) = 30902652

Least Common Multiple (LCM) of 9621 and 9636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9621 and 9636. First we will calculate the prime factors of 9621 and 9636.

Prime Factorization of 9621

Prime factors of 9621 are 3, 1069. Prime factorization of 9621 in exponential form is:

9621 = 32 × 10691

Prime Factorization of 9636

Prime factors of 9636 are 2, 3, 11, 73. Prime factorization of 9636 in exponential form is:

9636 = 22 × 31 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 9621 and 9636.

LCM(9621,9636) = 32 × 10691 × 22 × 111 × 731
LCM(9621,9636) = 30902652