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What is the Least Common Multiple of 95263 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 95263 and 95272 is 9075896536.

LCM(95263,95272) = 9075896536

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Least Common Multiple of 95263 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 95263 and 95272, than apply into the LCM equation.

GCF(95263,95272) = 1
LCM(95263,95272) = ( 95263 × 95272) / 1
LCM(95263,95272) = 9075896536 / 1
LCM(95263,95272) = 9075896536

Least Common Multiple (LCM) of 95263 and 95272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95263 and 95272. First we will calculate the prime factors of 95263 and 95272.

Prime Factorization of 95263

Prime factors of 95263 are 7, 31, 439. Prime factorization of 95263 in exponential form is:

95263 = 71 × 311 × 4391

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 95263 and 95272.

LCM(95263,95272) = 71 × 311 × 4391 × 23 × 119091
LCM(95263,95272) = 9075896536