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What is the Least Common Multiple of 94250 and 94265?

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 94250 and 94265 is 1776895250.

LCM(94250,94265) = 1776895250

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Least Common Multiple of 94250 and 94265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94250 and 94265, than apply into the LCM equation.

GCF(94250,94265) = 5
LCM(94250,94265) = ( 94250 × 94265) / 5
LCM(94250,94265) = 8884476250 / 5
LCM(94250,94265) = 1776895250

Least Common Multiple (LCM) of 94250 and 94265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94250 and 94265. First we will calculate the prime factors of 94250 and 94265.

Prime Factorization of 94250

Prime factors of 94250 are 2, 5, 13, 29. Prime factorization of 94250 in exponential form is:

94250 = 21 × 53 × 131 × 291

Prime Factorization of 94265

Prime factors of 94265 are 5, 17, 1109. Prime factorization of 94265 in exponential form is:

94265 = 51 × 171 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 94250 and 94265.

LCM(94250,94265) = 21 × 53 × 131 × 291 × 171 × 11091
LCM(94250,94265) = 1776895250