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What is the Least Common Multiple of 8912 and 8917?

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 8912 and 8917 is 79468304.

LCM(8912,8917) = 79468304

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Least Common Multiple of 8912 and 8917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8912 and 8917, than apply into the LCM equation.

GCF(8912,8917) = 1
LCM(8912,8917) = ( 8912 × 8917) / 1
LCM(8912,8917) = 79468304 / 1
LCM(8912,8917) = 79468304

Least Common Multiple (LCM) of 8912 and 8917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8912 and 8917. First we will calculate the prime factors of 8912 and 8917.

Prime Factorization of 8912

Prime factors of 8912 are 2, 557. Prime factorization of 8912 in exponential form is:

8912 = 24 × 5571

Prime Factorization of 8917

Prime factors of 8917 are 37, 241. Prime factorization of 8917 in exponential form is:

8917 = 371 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8912 and 8917.

LCM(8912,8917) = 24 × 5571 × 371 × 2411
LCM(8912,8917) = 79468304