What is the Least Common Multiple of 28420 and 28440?

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 28420 and 28440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28420 and 28440, than apply into the LCM equation.

GCF(28420,28440) = 20
LCM(28420,28440) = ( 28420 × 28440) / 20
LCM(28420,28440) = 808264800 / 20
LCM(28420,28440) = 40413240

Least Common Multiple (LCM) of 28420 and 28440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28420 and 28440. First we will calculate the prime factors of 28420 and 28440.

Prime Factorization of 28420

Prime Factorization of 28440

Now multiplying the highest exponent prime factors to calculate the LCM of 28420 and 28440.

LCM(28420,28440) = 2³ × 5¹ × 7² × 29¹ × 3² × 79¹
LCM(28420,28440) = 40413240