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What is the Least Common Multiple of 93896 and 93908?

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 93896 and 93908 is 2204396392.

LCM(93896,93908) = 2204396392

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Least Common Multiple of 93896 and 93908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93896 and 93908, than apply into the LCM equation.

GCF(93896,93908) = 4
LCM(93896,93908) = ( 93896 × 93908) / 4
LCM(93896,93908) = 8817585568 / 4
LCM(93896,93908) = 2204396392

Least Common Multiple (LCM) of 93896 and 93908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93896 and 93908. First we will calculate the prime factors of 93896 and 93908.

Prime Factorization of 93896

Prime factors of 93896 are 2, 11, 97. Prime factorization of 93896 in exponential form is:

93896 = 23 × 112 × 971

Prime Factorization of 93908

Prime factors of 93908 are 2, 17, 1381. Prime factorization of 93908 in exponential form is:

93908 = 22 × 171 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 93896 and 93908.

LCM(93896,93908) = 23 × 112 × 971 × 171 × 13811
LCM(93896,93908) = 2204396392