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What is the Least Common Multiple of 93598 and 93612?

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 93598 and 93612 is 4380947988.

LCM(93598,93612) = 4380947988

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Least Common Multiple of 93598 and 93612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93598 and 93612, than apply into the LCM equation.

GCF(93598,93612) = 2
LCM(93598,93612) = ( 93598 × 93612) / 2
LCM(93598,93612) = 8761895976 / 2
LCM(93598,93612) = 4380947988

Least Common Multiple (LCM) of 93598 and 93612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93598 and 93612. First we will calculate the prime factors of 93598 and 93612.

Prime Factorization of 93598

Prime factors of 93598 are 2, 53, 883. Prime factorization of 93598 in exponential form is:

93598 = 21 × 531 × 8831

Prime Factorization of 93612

Prime factors of 93612 are 2, 3, 29, 269. Prime factorization of 93612 in exponential form is:

93612 = 22 × 31 × 291 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 93598 and 93612.

LCM(93598,93612) = 22 × 531 × 8831 × 31 × 291 × 2691
LCM(93598,93612) = 4380947988