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What is the Least Common Multiple of 91459 and 91464?

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 91459 and 91464 is 8365205976.

LCM(91459,91464) = 8365205976

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Least Common Multiple of 91459 and 91464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91459 and 91464, than apply into the LCM equation.

GCF(91459,91464) = 1
LCM(91459,91464) = ( 91459 × 91464) / 1
LCM(91459,91464) = 8365205976 / 1
LCM(91459,91464) = 8365205976

Least Common Multiple (LCM) of 91459 and 91464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91459 and 91464. First we will calculate the prime factors of 91459 and 91464.

Prime Factorization of 91459

Prime factors of 91459 are 91459. Prime factorization of 91459 in exponential form is:

91459 = 914591

Prime Factorization of 91464

Prime factors of 91464 are 2, 3, 37, 103. Prime factorization of 91464 in exponential form is:

91464 = 23 × 31 × 371 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 91459 and 91464.

LCM(91459,91464) = 914591 × 23 × 31 × 371 × 1031
LCM(91459,91464) = 8365205976