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What is the Least Common Multiple of 91788 and 91792?

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 91788 and 91792 is 2106351024.

LCM(91788,91792) = 2106351024

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Least Common Multiple of 91788 and 91792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91788 and 91792, than apply into the LCM equation.

GCF(91788,91792) = 4
LCM(91788,91792) = ( 91788 × 91792) / 4
LCM(91788,91792) = 8425404096 / 4
LCM(91788,91792) = 2106351024

Least Common Multiple (LCM) of 91788 and 91792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91788 and 91792. First we will calculate the prime factors of 91788 and 91792.

Prime Factorization of 91788

Prime factors of 91788 are 2, 3, 7649. Prime factorization of 91788 in exponential form is:

91788 = 22 × 31 × 76491

Prime Factorization of 91792

Prime factors of 91792 are 2, 5737. Prime factorization of 91792 in exponential form is:

91792 = 24 × 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 91788 and 91792.

LCM(91788,91792) = 24 × 31 × 76491 × 57371
LCM(91788,91792) = 2106351024