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What is the Least Common Multiple of 9635 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 9635 and 9640 is 18576280.

LCM(9635,9640) = 18576280

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Least Common Multiple of 9635 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 9635 and 9640, than apply into the LCM equation.

GCF(9635,9640) = 5
LCM(9635,9640) = ( 9635 × 9640) / 5
LCM(9635,9640) = 92881400 / 5
LCM(9635,9640) = 18576280

Least Common Multiple (LCM) of 9635 and 9640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9635 and 9640. First we will calculate the prime factors of 9635 and 9640.

Prime Factorization of 9635

Prime factors of 9635 are 5, 41, 47. Prime factorization of 9635 in exponential form is:

9635 = 51 × 411 × 471

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 9635 and 9640.

LCM(9635,9640) = 51 × 411 × 471 × 23 × 2411
LCM(9635,9640) = 18576280