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What is the Least Common Multiple of 9640 and 9645?

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 9640 and 9645 is 18595560.

LCM(9640,9645) = 18595560

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Least Common Multiple of 9640 and 9645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9640 and 9645, than apply into the LCM equation.

GCF(9640,9645) = 5
LCM(9640,9645) = ( 9640 × 9645) / 5
LCM(9640,9645) = 92977800 / 5
LCM(9640,9645) = 18595560

Least Common Multiple (LCM) of 9640 and 9645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9640 and 9645. First we will calculate the prime factors of 9640 and 9645.

Prime Factorization of 9640

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

9640 = 23 × 51 × 2411

Prime Factorization of 9645

Prime factors of 9645 are 3, 5, 643. Prime factorization of 9645 in exponential form is:

9645 = 31 × 51 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 9640 and 9645.

LCM(9640,9645) = 23 × 51 × 2411 × 31 × 6431
LCM(9640,9645) = 18595560