What is the Least Common Multiple of 91500 and 91509?

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 91509 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 91509, than apply into the LCM equation.

GCF(91500,91509) = 3
LCM(91500,91509) = ( 91500 × 91509) / 3
LCM(91500,91509) = 8373073500 / 3
LCM(91500,91509) = 2791024500

Least Common Multiple (LCM) of 91500 and 91509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91500 and 91509. First we will calculate the prime factors of 91500 and 91509.

Prime Factorization of 91500

Prime Factorization of 91509

Now multiplying the highest exponent prime factors to calculate the LCM of 91500 and 91509.

LCM(91500,91509) = 2² × 3¹ × 5³ × 61¹ × 11¹ × 47¹ × 59¹
LCM(91500,91509) = 2791024500