What is the Least Common Multiple of 89490 and 89498?

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 89490 and 89498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89490 and 89498, than apply into the LCM equation.

GCF(89490,89498) = 2
LCM(89490,89498) = ( 89490 × 89498) / 2
LCM(89490,89498) = 8009176020 / 2
LCM(89490,89498) = 4004588010

Least Common Multiple (LCM) of 89490 and 89498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89490 and 89498. First we will calculate the prime factors of 89490 and 89498.

Prime Factorization of 89490

Prime Factorization of 89498

Now multiplying the highest exponent prime factors to calculate the LCM of 89490 and 89498.

LCM(89490,89498) = 2¹ × 3¹ × 5¹ × 19¹ × 157¹ × 73¹ × 613¹
LCM(89490,89498) = 4004588010