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What is the Least Common Multiple of 95012 and 95029?

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 95012 and 95029 is 9028895348.

LCM(95012,95029) = 9028895348

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Least Common Multiple of 95012 and 95029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95012 and 95029, than apply into the LCM equation.

GCF(95012,95029) = 1
LCM(95012,95029) = ( 95012 × 95029) / 1
LCM(95012,95029) = 9028895348 / 1
LCM(95012,95029) = 9028895348

Least Common Multiple (LCM) of 95012 and 95029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95012 and 95029. First we will calculate the prime factors of 95012 and 95029.

Prime Factorization of 95012

Prime factors of 95012 are 2, 23753. Prime factorization of 95012 in exponential form is:

95012 = 22 × 237531

Prime Factorization of 95029

Prime factors of 95029 are 11, 53, 163. Prime factorization of 95029 in exponential form is:

95029 = 111 × 531 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 95012 and 95029.

LCM(95012,95029) = 22 × 237531 × 111 × 531 × 1631
LCM(95012,95029) = 9028895348