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What is the Least Common Multiple of 91489 and 91500?

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 91489 and 91500 is 8371243500.

LCM(91489,91500) = 8371243500

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Least Common Multiple of 91489 and 91500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91489 and 91500, than apply into the LCM equation.

GCF(91489,91500) = 1
LCM(91489,91500) = ( 91489 × 91500) / 1
LCM(91489,91500) = 8371243500 / 1
LCM(91489,91500) = 8371243500

Least Common Multiple (LCM) of 91489 and 91500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91489 and 91500. First we will calculate the prime factors of 91489 and 91500.

Prime Factorization of 91489

Prime factors of 91489 are 191, 479. Prime factorization of 91489 in exponential form is:

91489 = 1911 × 4791

Prime Factorization of 91500

Prime factors of 91500 are 2, 3, 5, 61. Prime factorization of 91500 in exponential form is:

91500 = 22 × 31 × 53 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 91489 and 91500.

LCM(91489,91500) = 1911 × 4791 × 22 × 31 × 53 × 611
LCM(91489,91500) = 8371243500