What is the Least Common Multiple of 90408 and 90412?

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 90408 and 90412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90408 and 90412, than apply into the LCM equation.

GCF(90408,90412) = 4
LCM(90408,90412) = ( 90408 × 90412) / 4
LCM(90408,90412) = 8173968096 / 4
LCM(90408,90412) = 2043492024

Least Common Multiple (LCM) of 90408 and 90412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90408 and 90412. First we will calculate the prime factors of 90408 and 90412.

Prime Factorization of 90408

Prime Factorization of 90412

Now multiplying the highest exponent prime factors to calculate the LCM of 90408 and 90412.

LCM(90408,90412) = 2³ × 3¹ × 3767¹ × 7¹ × 3229¹
LCM(90408,90412) = 2043492024