What is the Least Common Multiple of 91500 and 91514?

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 91500 and 91514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91500 and 91514, than apply into the LCM equation.

GCF(91500,91514) = 2
LCM(91500,91514) = ( 91500 × 91514) / 2
LCM(91500,91514) = 8373531000 / 2
LCM(91500,91514) = 4186765500

Least Common Multiple (LCM) of 91500 and 91514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91500 and 91514. First we will calculate the prime factors of 91500 and 91514.

Prime Factorization of 91500

Prime Factorization of 91514

Now multiplying the highest exponent prime factors to calculate the LCM of 91500 and 91514.

LCM(91500,91514) = 2² × 3¹ × 5³ × 61¹ × 45757¹
LCM(91500,91514) = 4186765500