What is the Least Common Multiple of 91492 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 of 91492 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 91492 and 91500, than apply into the LCM equation.

GCF(91492,91500) = 4
LCM(91492,91500) = ( 91492 × 91500) / 4
LCM(91492,91500) = 8371518000 / 4
LCM(91492,91500) = 2092879500

Least Common Multiple (LCM) of 91492 and 91500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91492 and 91500. First we will calculate the prime factors of 91492 and 91500.

Prime Factorization of 91492

Prime Factorization of 91500

Now multiplying the highest exponent prime factors to calculate the LCM of 91492 and 91500.

LCM(91492,91500) = 2² × 89¹ × 257¹ × 3¹ × 5³ × 61¹
LCM(91492,91500) = 2092879500