What is the Least Common Multiple of 90312 and 90324?

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 90312 and 90324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90312 and 90324, than apply into the LCM equation.

GCF(90312,90324) = 12
LCM(90312,90324) = ( 90312 × 90324) / 12
LCM(90312,90324) = 8157341088 / 12
LCM(90312,90324) = 679778424

Least Common Multiple (LCM) of 90312 and 90324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90312 and 90324. First we will calculate the prime factors of 90312 and 90324.

Prime Factorization of 90312

Prime Factorization of 90324

Now multiplying the highest exponent prime factors to calculate the LCM of 90312 and 90324.

LCM(90312,90324) = 2³ × 3² × 53¹ × 71¹ × 13¹ × 193¹
LCM(90312,90324) = 679778424