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What is the Least Common Multiple of 91259 and 91272?

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 91259 and 91272 is 8329391448.

LCM(91259,91272) = 8329391448

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Least Common Multiple of 91259 and 91272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91259 and 91272, than apply into the LCM equation.

GCF(91259,91272) = 1
LCM(91259,91272) = ( 91259 × 91272) / 1
LCM(91259,91272) = 8329391448 / 1
LCM(91259,91272) = 8329391448

Least Common Multiple (LCM) of 91259 and 91272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91259 and 91272. First we will calculate the prime factors of 91259 and 91272.

Prime Factorization of 91259

Prime factors of 91259 are 7, 13037. Prime factorization of 91259 in exponential form is:

91259 = 71 × 130371

Prime Factorization of 91272

Prime factors of 91272 are 2, 3, 3803. Prime factorization of 91272 in exponential form is:

91272 = 23 × 31 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 91259 and 91272.

LCM(91259,91272) = 71 × 130371 × 23 × 31 × 38031
LCM(91259,91272) = 8329391448