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What is the Least Common Multiple of 93776 and 93792?

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 93776 and 93792 is 549714912.

LCM(93776,93792) = 549714912

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Least Common Multiple of 93776 and 93792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93776 and 93792, than apply into the LCM equation.

GCF(93776,93792) = 16
LCM(93776,93792) = ( 93776 × 93792) / 16
LCM(93776,93792) = 8795438592 / 16
LCM(93776,93792) = 549714912

Least Common Multiple (LCM) of 93776 and 93792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93776 and 93792. First we will calculate the prime factors of 93776 and 93792.

Prime Factorization of 93776

Prime factors of 93776 are 2, 5861. Prime factorization of 93776 in exponential form is:

93776 = 24 × 58611

Prime Factorization of 93792

Prime factors of 93792 are 2, 3, 977. Prime factorization of 93792 in exponential form is:

93792 = 25 × 31 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 93776 and 93792.

LCM(93776,93792) = 25 × 58611 × 31 × 9771
LCM(93776,93792) = 549714912