What is the Least Common Multiple of 90808 and 90812?

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 90808 and 90812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90808 and 90812, than apply into the LCM equation.

GCF(90808,90812) = 4
LCM(90808,90812) = ( 90808 × 90812) / 4
LCM(90808,90812) = 8246456096 / 4
LCM(90808,90812) = 2061614024

Least Common Multiple (LCM) of 90808 and 90812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90808 and 90812. First we will calculate the prime factors of 90808 and 90812.

Prime Factorization of 90808

Prime Factorization of 90812

Now multiplying the highest exponent prime factors to calculate the LCM of 90808 and 90812.

LCM(90808,90812) = 2³ × 11351¹ × 73¹ × 311¹
LCM(90808,90812) = 2061614024