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What is the Least Common Multiple of 95264 and 95273?

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 95264 and 95273 is 9076087072.

LCM(95264,95273) = 9076087072

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Least Common Multiple of 95264 and 95273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95264 and 95273, than apply into the LCM equation.

GCF(95264,95273) = 1
LCM(95264,95273) = ( 95264 × 95273) / 1
LCM(95264,95273) = 9076087072 / 1
LCM(95264,95273) = 9076087072

Least Common Multiple (LCM) of 95264 and 95273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95264 and 95273. First we will calculate the prime factors of 95264 and 95273.

Prime Factorization of 95264

Prime factors of 95264 are 2, 13, 229. Prime factorization of 95264 in exponential form is:

95264 = 25 × 131 × 2291

Prime Factorization of 95273

Prime factors of 95273 are 95273. Prime factorization of 95273 in exponential form is:

95273 = 952731

Now multiplying the highest exponent prime factors to calculate the LCM of 95264 and 95273.

LCM(95264,95273) = 25 × 131 × 2291 × 952731
LCM(95264,95273) = 9076087072