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What is the Least Common Multiple of 91752 and 91768?

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 91752 and 91768 is 1052487192.

LCM(91752,91768) = 1052487192

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Least Common Multiple of 91752 and 91768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91752 and 91768, than apply into the LCM equation.

GCF(91752,91768) = 8
LCM(91752,91768) = ( 91752 × 91768) / 8
LCM(91752,91768) = 8419897536 / 8
LCM(91752,91768) = 1052487192

Least Common Multiple (LCM) of 91752 and 91768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91752 and 91768. First we will calculate the prime factors of 91752 and 91768.

Prime Factorization of 91752

Prime factors of 91752 are 2, 3, 3823. Prime factorization of 91752 in exponential form is:

91752 = 23 × 31 × 38231

Prime Factorization of 91768

Prime factors of 91768 are 2, 11471. Prime factorization of 91768 in exponential form is:

91768 = 23 × 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 91752 and 91768.

LCM(91752,91768) = 23 × 31 × 38231 × 114711
LCM(91752,91768) = 1052487192