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What is the Least Common Multiple of 92742 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 92742 and 92752 is 4301002992.

LCM(92742,92752) = 4301002992

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Least Common Multiple of 92742 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 92742 and 92752, than apply into the LCM equation.

GCF(92742,92752) = 2
LCM(92742,92752) = ( 92742 × 92752) / 2
LCM(92742,92752) = 8602005984 / 2
LCM(92742,92752) = 4301002992

Least Common Multiple (LCM) of 92742 and 92752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92742 and 92752. First we will calculate the prime factors of 92742 and 92752.

Prime Factorization of 92742

Prime factors of 92742 are 2, 3, 13, 29, 41. Prime factorization of 92742 in exponential form is:

92742 = 21 × 31 × 131 × 291 × 411

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 92742 and 92752.

LCM(92742,92752) = 24 × 31 × 131 × 291 × 411 × 111 × 171 × 311
LCM(92742,92752) = 4301002992