What is the Least Common Multiple of 28728 and 28740?

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 28728 and 28740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28728 and 28740, than apply into the LCM equation.

GCF(28728,28740) = 12
LCM(28728,28740) = ( 28728 × 28740) / 12
LCM(28728,28740) = 825642720 / 12
LCM(28728,28740) = 68803560

Least Common Multiple (LCM) of 28728 and 28740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28728 and 28740. First we will calculate the prime factors of 28728 and 28740.

Prime Factorization of 28728

Prime Factorization of 28740

Now multiplying the highest exponent prime factors to calculate the LCM of 28728 and 28740.

LCM(28728,28740) = 2³ × 3³ × 7¹ × 19¹ × 5¹ × 479¹
LCM(28728,28740) = 68803560