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What is the Least Common Multiple of 92737 and 92752?

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 92737 and 92752 is 8601542224.

LCM(92737,92752) = 8601542224

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Least Common Multiple of 92737 and 92752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92737 and 92752, than apply into the LCM equation.

GCF(92737,92752) = 1
LCM(92737,92752) = ( 92737 × 92752) / 1
LCM(92737,92752) = 8601542224 / 1
LCM(92737,92752) = 8601542224

Least Common Multiple (LCM) of 92737 and 92752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92737 and 92752. First we will calculate the prime factors of 92737 and 92752.

Prime Factorization of 92737

Prime factors of 92737 are 92737. Prime factorization of 92737 in exponential form is:

92737 = 927371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 92737 and 92752.

LCM(92737,92752) = 927371 × 24 × 111 × 171 × 311
LCM(92737,92752) = 8601542224