What is the Least Common Multiple of 90612 and 90624?

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 90612 and 90624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90612 and 90624, than apply into the LCM equation.

GCF(90612,90624) = 12
LCM(90612,90624) = ( 90612 × 90624) / 12
LCM(90612,90624) = 8211621888 / 12
LCM(90612,90624) = 684301824

Least Common Multiple (LCM) of 90612 and 90624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90612 and 90624. First we will calculate the prime factors of 90612 and 90624.

Prime Factorization of 90612

Prime Factorization of 90624

Now multiplying the highest exponent prime factors to calculate the LCM of 90612 and 90624.

LCM(90612,90624) = 2⁹ × 3³ × 839¹ × 59¹
LCM(90612,90624) = 684301824