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What is the Least Common Multiple of 91471 and 91477?

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 91471 and 91477 is 8367492667.

LCM(91471,91477) = 8367492667

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Least Common Multiple of 91471 and 91477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91471 and 91477, than apply into the LCM equation.

GCF(91471,91477) = 1
LCM(91471,91477) = ( 91471 × 91477) / 1
LCM(91471,91477) = 8367492667 / 1
LCM(91471,91477) = 8367492667

Least Common Multiple (LCM) of 91471 and 91477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91471 and 91477. First we will calculate the prime factors of 91471 and 91477.

Prime Factorization of 91471

Prime factors of 91471 are 23, 41, 97. Prime factorization of 91471 in exponential form is:

91471 = 231 × 411 × 971

Prime Factorization of 91477

Prime factors of 91477 are 17, 5381. Prime factorization of 91477 in exponential form is:

91477 = 171 × 53811

Now multiplying the highest exponent prime factors to calculate the LCM of 91471 and 91477.

LCM(91471,91477) = 231 × 411 × 971 × 171 × 53811
LCM(91471,91477) = 8367492667