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What is the Least Common Multiple of 95032 and 95044?

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 95032 and 95044 is 2258055352.

LCM(95032,95044) = 2258055352

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Least Common Multiple of 95032 and 95044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95032 and 95044, than apply into the LCM equation.

GCF(95032,95044) = 4
LCM(95032,95044) = ( 95032 × 95044) / 4
LCM(95032,95044) = 9032221408 / 4
LCM(95032,95044) = 2258055352

Least Common Multiple (LCM) of 95032 and 95044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95032 and 95044. First we will calculate the prime factors of 95032 and 95044.

Prime Factorization of 95032

Prime factors of 95032 are 2, 7, 1697. Prime factorization of 95032 in exponential form is:

95032 = 23 × 71 × 16971

Prime Factorization of 95044

Prime factors of 95044 are 2, 23761. Prime factorization of 95044 in exponential form is:

95044 = 22 × 237611

Now multiplying the highest exponent prime factors to calculate the LCM of 95032 and 95044.

LCM(95032,95044) = 23 × 71 × 16971 × 237611
LCM(95032,95044) = 2258055352