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What is the Least Common Multiple of 9612 and 9624?

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 9612 and 9624 is 7708824.

LCM(9612,9624) = 7708824

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Least Common Multiple of 9612 and 9624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9612 and 9624, than apply into the LCM equation.

GCF(9612,9624) = 12
LCM(9612,9624) = ( 9612 × 9624) / 12
LCM(9612,9624) = 92505888 / 12
LCM(9612,9624) = 7708824

Least Common Multiple (LCM) of 9612 and 9624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9612 and 9624. First we will calculate the prime factors of 9612 and 9624.

Prime Factorization of 9612

Prime factors of 9612 are 2, 3, 89. Prime factorization of 9612 in exponential form is:

9612 = 22 × 33 × 891

Prime Factorization of 9624

Prime factors of 9624 are 2, 3, 401. Prime factorization of 9624 in exponential form is:

9624 = 23 × 31 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 9612 and 9624.

LCM(9612,9624) = 23 × 33 × 891 × 4011
LCM(9612,9624) = 7708824