What is the Least Common Multiple of 84624 and 84640?

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 84624 and 84640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84624 and 84640, than apply into the LCM equation.

GCF(84624,84640) = 16
LCM(84624,84640) = ( 84624 × 84640) / 16
LCM(84624,84640) = 7162575360 / 16
LCM(84624,84640) = 447660960

Least Common Multiple (LCM) of 84624 and 84640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84624 and 84640. First we will calculate the prime factors of 84624 and 84640.

Prime Factorization of 84624

Prime Factorization of 84640

Now multiplying the highest exponent prime factors to calculate the LCM of 84624 and 84640.

LCM(84624,84640) = 2⁵ × 3¹ × 41¹ × 43¹ × 5¹ × 23²
LCM(84624,84640) = 447660960