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What is the Least Common Multiple of 92752 and 92757?

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 92752 and 92757 is 8603397264.

LCM(92752,92757) = 8603397264

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Least Common Multiple of 92752 and 92757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92752 and 92757, than apply into the LCM equation.

GCF(92752,92757) = 1
LCM(92752,92757) = ( 92752 × 92757) / 1
LCM(92752,92757) = 8603397264 / 1
LCM(92752,92757) = 8603397264

Least Common Multiple (LCM) of 92752 and 92757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92752 and 92757. First we will calculate the prime factors of 92752 and 92757.

Prime Factorization of 92752

Prime factors of 92752 are 2, 11, 17, 31. Prime factorization of 92752 in exponential form is:

92752 = 24 × 111 × 171 × 311

Prime Factorization of 92757

Prime factors of 92757 are 3, 7, 631. Prime factorization of 92757 in exponential form is:

92757 = 31 × 72 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 92752 and 92757.

LCM(92752,92757) = 24 × 111 × 171 × 311 × 31 × 72 × 6311
LCM(92752,92757) = 8603397264