What is the Least Common Multiple of 91488 and 91502?

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 91488 and 91502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91488 and 91502, than apply into the LCM equation.

GCF(91488,91502) = 2
LCM(91488,91502) = ( 91488 × 91502) / 2
LCM(91488,91502) = 8371334976 / 2
LCM(91488,91502) = 4185667488

Least Common Multiple (LCM) of 91488 and 91502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91488 and 91502. First we will calculate the prime factors of 91488 and 91502.

Prime Factorization of 91488

Prime Factorization of 91502

Now multiplying the highest exponent prime factors to calculate the LCM of 91488 and 91502.

LCM(91488,91502) = 2⁵ × 3¹ × 953¹ × 45751¹
LCM(91488,91502) = 4185667488