What is the Least Common Multiple of 90624 and 90642?

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 90624 and 90642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90624 and 90642, than apply into the LCM equation.

GCF(90624,90642) = 6
LCM(90624,90642) = ( 90624 × 90642) / 6
LCM(90624,90642) = 8214340608 / 6
LCM(90624,90642) = 1369056768

Least Common Multiple (LCM) of 90624 and 90642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90624 and 90642. First we will calculate the prime factors of 90624 and 90642.

Prime Factorization of 90624

Prime Factorization of 90642

Now multiplying the highest exponent prime factors to calculate the LCM of 90624 and 90642.

LCM(90624,90642) = 2⁹ × 3¹ × 59¹ × 15107¹
LCM(90624,90642) = 1369056768