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What is the Least Common Multiple of 95244 and 95264?

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 95244 and 95264 is 2268331104.

LCM(95244,95264) = 2268331104

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Least Common Multiple of 95244 and 95264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95244 and 95264, than apply into the LCM equation.

GCF(95244,95264) = 4
LCM(95244,95264) = ( 95244 × 95264) / 4
LCM(95244,95264) = 9073324416 / 4
LCM(95244,95264) = 2268331104

Least Common Multiple (LCM) of 95244 and 95264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95244 and 95264. First we will calculate the prime factors of 95244 and 95264.

Prime Factorization of 95244

Prime factors of 95244 are 2, 3, 7937. Prime factorization of 95244 in exponential form is:

95244 = 22 × 31 × 79371

Prime Factorization of 95264

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

95264 = 25 × 131 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 95244 and 95264.

LCM(95244,95264) = 25 × 31 × 79371 × 131 × 2291
LCM(95244,95264) = 2268331104