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What is the Least Common Multiple of 8792 and 8808?

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 8792 and 8808 is 9679992.

LCM(8792,8808) = 9679992

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Least Common Multiple of 8792 and 8808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8792 and 8808, than apply into the LCM equation.

GCF(8792,8808) = 8
LCM(8792,8808) = ( 8792 × 8808) / 8
LCM(8792,8808) = 77439936 / 8
LCM(8792,8808) = 9679992

Least Common Multiple (LCM) of 8792 and 8808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8808. First we will calculate the prime factors of 8792 and 8808.

Prime Factorization of 8792

Prime factors of 8792 are 2, 7, 157. Prime factorization of 8792 in exponential form is:

8792 = 23 × 71 × 1571

Prime Factorization of 8808

Prime factors of 8808 are 2, 3, 367. Prime factorization of 8808 in exponential form is:

8808 = 23 × 31 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8808.

LCM(8792,8808) = 23 × 71 × 1571 × 31 × 3671
LCM(8792,8808) = 9679992