What is the Least Common Multiple of 90438 and 90458?

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 90438 and 90458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90438 and 90458, than apply into the LCM equation.

GCF(90438,90458) = 2
LCM(90438,90458) = ( 90438 × 90458) / 2
LCM(90438,90458) = 8180840604 / 2
LCM(90438,90458) = 4090420302

Least Common Multiple (LCM) of 90438 and 90458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90438 and 90458. First we will calculate the prime factors of 90438 and 90458.

Prime Factorization of 90438

Prime Factorization of 90458

Now multiplying the highest exponent prime factors to calculate the LCM of 90438 and 90458.

LCM(90438,90458) = 2¹ × 3¹ × 15073¹ × 31¹ × 1459¹
LCM(90438,90458) = 4090420302