What is the Least Common Multiple of 28680 and 28700?

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 28680 and 28700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28680 and 28700, than apply into the LCM equation.

GCF(28680,28700) = 20
LCM(28680,28700) = ( 28680 × 28700) / 20
LCM(28680,28700) = 823116000 / 20
LCM(28680,28700) = 41155800

Least Common Multiple (LCM) of 28680 and 28700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28680 and 28700. First we will calculate the prime factors of 28680 and 28700.

Prime Factorization of 28680

Prime Factorization of 28700

Now multiplying the highest exponent prime factors to calculate the LCM of 28680 and 28700.

LCM(28680,28700) = 2³ × 3¹ × 5² × 239¹ × 7¹ × 41¹
LCM(28680,28700) = 41155800