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What is the Least Common Multiple of 95032 and 95045?

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 95045 is 9032316440.

LCM(95032,95045) = 9032316440

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Least Common Multiple of 95032 and 95045 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 95045, than apply into the LCM equation.

GCF(95032,95045) = 1
LCM(95032,95045) = ( 95032 × 95045) / 1
LCM(95032,95045) = 9032316440 / 1
LCM(95032,95045) = 9032316440

Least Common Multiple (LCM) of 95032 and 95045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95032 and 95045. First we will calculate the prime factors of 95032 and 95045.

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 95045

Prime factors of 95045 are 5, 19009. Prime factorization of 95045 in exponential form is:

95045 = 51 × 190091

Now multiplying the highest exponent prime factors to calculate the LCM of 95032 and 95045.

LCM(95032,95045) = 23 × 71 × 16971 × 51 × 190091
LCM(95032,95045) = 9032316440