What is the Least Common Multiple of 28624 and 28640?

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 28624 and 28640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28624 and 28640, than apply into the LCM equation.

GCF(28624,28640) = 16
LCM(28624,28640) = ( 28624 × 28640) / 16
LCM(28624,28640) = 819791360 / 16
LCM(28624,28640) = 51236960

Least Common Multiple (LCM) of 28624 and 28640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28624 and 28640. First we will calculate the prime factors of 28624 and 28640.

Prime Factorization of 28624

Prime Factorization of 28640

Now multiplying the highest exponent prime factors to calculate the LCM of 28624 and 28640.

LCM(28624,28640) = 2⁵ × 1789¹ × 5¹ × 179¹
LCM(28624,28640) = 51236960