What is the Least Common Multiple of 90624 and 90636?

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 90636 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 90636, than apply into the LCM equation.

GCF(90624,90636) = 12
LCM(90624,90636) = ( 90624 × 90636) / 12
LCM(90624,90636) = 8213796864 / 12
LCM(90624,90636) = 684483072

Least Common Multiple (LCM) of 90624 and 90636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90624 and 90636. First we will calculate the prime factors of 90624 and 90636.

Prime Factorization of 90624

Prime Factorization of 90636

Now multiplying the highest exponent prime factors to calculate the LCM of 90624 and 90636.

LCM(90624,90636) = 2⁹ × 3¹ × 59¹ × 7¹ × 13¹ × 83¹
LCM(90624,90636) = 684483072