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What is the Least Common Multiple of 95254 and 95272?

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 95254 and 95272 is 4537519544.

LCM(95254,95272) = 4537519544

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Least Common Multiple of 95254 and 95272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95254 and 95272, than apply into the LCM equation.

GCF(95254,95272) = 2
LCM(95254,95272) = ( 95254 × 95272) / 2
LCM(95254,95272) = 9075039088 / 2
LCM(95254,95272) = 4537519544

Least Common Multiple (LCM) of 95254 and 95272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95254 and 95272. First we will calculate the prime factors of 95254 and 95272.

Prime Factorization of 95254

Prime factors of 95254 are 2, 97, 491. Prime factorization of 95254 in exponential form is:

95254 = 21 × 971 × 4911

Prime Factorization of 95272

Prime factors of 95272 are 2, 11909. Prime factorization of 95272 in exponential form is:

95272 = 23 × 119091

Now multiplying the highest exponent prime factors to calculate the LCM of 95254 and 95272.

LCM(95254,95272) = 23 × 971 × 4911 × 119091
LCM(95254,95272) = 4537519544