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What is the Least Common Multiple of 9624 and 9640?

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 9624 and 9640 is 11596920.

LCM(9624,9640) = 11596920

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Least Common Multiple of 9624 and 9640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9624 and 9640, than apply into the LCM equation.

GCF(9624,9640) = 8
LCM(9624,9640) = ( 9624 × 9640) / 8
LCM(9624,9640) = 92775360 / 8
LCM(9624,9640) = 11596920

Least Common Multiple (LCM) of 9624 and 9640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9640. First we will calculate the prime factors of 9624 and 9640.

Prime Factorization of 9624

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

9624 = 23 × 31 × 4011

Prime Factorization of 9640

Prime factors of 9640 are 2, 5, 241. Prime factorization of 9640 in exponential form is:

9640 = 23 × 51 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9640.

LCM(9624,9640) = 23 × 31 × 4011 × 51 × 2411
LCM(9624,9640) = 11596920