What is the Least Common Multiple of 28709 and 28728?

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 28709 and 28728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28709 and 28728, than apply into the LCM equation.

GCF(28709,28728) = 19
LCM(28709,28728) = ( 28709 × 28728) / 19
LCM(28709,28728) = 824752152 / 19
LCM(28709,28728) = 43408008

Least Common Multiple (LCM) of 28709 and 28728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28709 and 28728. First we will calculate the prime factors of 28709 and 28728.

Prime Factorization of 28709

Prime Factorization of 28728

Now multiplying the highest exponent prime factors to calculate the LCM of 28709 and 28728.

LCM(28709,28728) = 19¹ × 1511¹ × 2³ × 3³ × 7¹
LCM(28709,28728) = 43408008