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What is the Least Common Multiple of 93536 and 93552?

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 93536 and 93552 is 546904992.

LCM(93536,93552) = 546904992

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Least Common Multiple of 93536 and 93552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93536 and 93552, than apply into the LCM equation.

GCF(93536,93552) = 16
LCM(93536,93552) = ( 93536 × 93552) / 16
LCM(93536,93552) = 8750479872 / 16
LCM(93536,93552) = 546904992

Least Common Multiple (LCM) of 93536 and 93552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93536 and 93552. First we will calculate the prime factors of 93536 and 93552.

Prime Factorization of 93536

Prime factors of 93536 are 2, 37, 79. Prime factorization of 93536 in exponential form is:

93536 = 25 × 371 × 791

Prime Factorization of 93552

Prime factors of 93552 are 2, 3, 1949. Prime factorization of 93552 in exponential form is:

93552 = 24 × 31 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 93536 and 93552.

LCM(93536,93552) = 25 × 371 × 791 × 31 × 19491
LCM(93536,93552) = 546904992