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What is the Least Common Multiple of 95022 and 95028?

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 95022 and 95028 is 1504958436.

LCM(95022,95028) = 1504958436

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Least Common Multiple of 95022 and 95028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95022 and 95028, than apply into the LCM equation.

GCF(95022,95028) = 6
LCM(95022,95028) = ( 95022 × 95028) / 6
LCM(95022,95028) = 9029750616 / 6
LCM(95022,95028) = 1504958436

Least Common Multiple (LCM) of 95022 and 95028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95022 and 95028. First we will calculate the prime factors of 95022 and 95028.

Prime Factorization of 95022

Prime factors of 95022 are 2, 3, 5279. Prime factorization of 95022 in exponential form is:

95022 = 21 × 32 × 52791

Prime Factorization of 95028

Prime factors of 95028 are 2, 3, 7919. Prime factorization of 95028 in exponential form is:

95028 = 22 × 31 × 79191

Now multiplying the highest exponent prime factors to calculate the LCM of 95022 and 95028.

LCM(95022,95028) = 22 × 32 × 52791 × 79191
LCM(95022,95028) = 1504958436