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What is the Least Common Multiple of 91496 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 91496 and 91500 is 2092971000.

LCM(91496,91500) = 2092971000

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Least Common Multiple of 91496 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 91496 and 91500, than apply into the LCM equation.

GCF(91496,91500) = 4
LCM(91496,91500) = ( 91496 × 91500) / 4
LCM(91496,91500) = 8371884000 / 4
LCM(91496,91500) = 2092971000

Least Common Multiple (LCM) of 91496 and 91500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91496 and 91500. First we will calculate the prime factors of 91496 and 91500.

Prime Factorization of 91496

Prime factors of 91496 are 2, 11437. Prime factorization of 91496 in exponential form is:

91496 = 23 × 114371

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 91496 and 91500.

LCM(91496,91500) = 23 × 114371 × 31 × 53 × 611
LCM(91496,91500) = 2092971000