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What is the Least Common Multiple of 91291 and 91311?

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 91291 and 91311 is 8335872501.

LCM(91291,91311) = 8335872501

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Least Common Multiple of 91291 and 91311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91291 and 91311, than apply into the LCM equation.

GCF(91291,91311) = 1
LCM(91291,91311) = ( 91291 × 91311) / 1
LCM(91291,91311) = 8335872501 / 1
LCM(91291,91311) = 8335872501

Least Common Multiple (LCM) of 91291 and 91311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91291 and 91311. First we will calculate the prime factors of 91291 and 91311.

Prime Factorization of 91291

Prime factors of 91291 are 91291. Prime factorization of 91291 in exponential form is:

91291 = 912911

Prime Factorization of 91311

Prime factors of 91311 are 3, 11, 2767. Prime factorization of 91311 in exponential form is:

91311 = 31 × 111 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 91291 and 91311.

LCM(91291,91311) = 912911 × 31 × 111 × 27671
LCM(91291,91311) = 8335872501