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What is the Least Common Multiple of 95362 and 95375?

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 95362 and 95375 is 9095150750.

LCM(95362,95375) = 9095150750

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Least Common Multiple of 95362 and 95375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95362 and 95375, than apply into the LCM equation.

GCF(95362,95375) = 1
LCM(95362,95375) = ( 95362 × 95375) / 1
LCM(95362,95375) = 9095150750 / 1
LCM(95362,95375) = 9095150750

Least Common Multiple (LCM) of 95362 and 95375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95362 and 95375. First we will calculate the prime factors of 95362 and 95375.

Prime Factorization of 95362

Prime factors of 95362 are 2, 47681. Prime factorization of 95362 in exponential form is:

95362 = 21 × 476811

Prime Factorization of 95375

Prime factors of 95375 are 5, 7, 109. Prime factorization of 95375 in exponential form is:

95375 = 53 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 95362 and 95375.

LCM(95362,95375) = 21 × 476811 × 53 × 71 × 1091
LCM(95362,95375) = 9095150750