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What is the Least Common Multiple of 91792 and 91804?

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 91792 and 91804 is 2106718192.

LCM(91792,91804) = 2106718192

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Least Common Multiple of 91792 and 91804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91792 and 91804, than apply into the LCM equation.

GCF(91792,91804) = 4
LCM(91792,91804) = ( 91792 × 91804) / 4
LCM(91792,91804) = 8426872768 / 4
LCM(91792,91804) = 2106718192

Least Common Multiple (LCM) of 91792 and 91804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91792 and 91804. First we will calculate the prime factors of 91792 and 91804.

Prime Factorization of 91792

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

91792 = 24 × 57371

Prime Factorization of 91804

Prime factors of 91804 are 2, 59, 389. Prime factorization of 91804 in exponential form is:

91804 = 22 × 591 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 91792 and 91804.

LCM(91792,91804) = 24 × 57371 × 591 × 3891
LCM(91792,91804) = 2106718192