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What is the Least Common Multiple of 9472 and 9489?

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 9472 and 9489 is 89879808.

LCM(9472,9489) = 89879808

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Least Common Multiple of 9472 and 9489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9472 and 9489, than apply into the LCM equation.

GCF(9472,9489) = 1
LCM(9472,9489) = ( 9472 × 9489) / 1
LCM(9472,9489) = 89879808 / 1
LCM(9472,9489) = 89879808

Least Common Multiple (LCM) of 9472 and 9489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9472 and 9489. First we will calculate the prime factors of 9472 and 9489.

Prime Factorization of 9472

Prime factors of 9472 are 2, 37. Prime factorization of 9472 in exponential form is:

9472 = 28 × 371

Prime Factorization of 9489

Prime factors of 9489 are 3, 3163. Prime factorization of 9489 in exponential form is:

9489 = 31 × 31631

Now multiplying the highest exponent prime factors to calculate the LCM of 9472 and 9489.

LCM(9472,9489) = 28 × 371 × 31 × 31631
LCM(9472,9489) = 89879808