What is the Least Common Multiple of 89475 and 89490?

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 89475 and 89490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89475 and 89490, than apply into the LCM equation.

GCF(89475,89490) = 15
LCM(89475,89490) = ( 89475 × 89490) / 15
LCM(89475,89490) = 8007117750 / 15
LCM(89475,89490) = 533807850

Least Common Multiple (LCM) of 89475 and 89490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89475 and 89490. First we will calculate the prime factors of 89475 and 89490.

Prime Factorization of 89475

Prime Factorization of 89490

Now multiplying the highest exponent prime factors to calculate the LCM of 89475 and 89490.

LCM(89475,89490) = 3¹ × 5² × 1193¹ × 2¹ × 19¹ × 157¹
LCM(89475,89490) = 533807850