What is the Least Common Multiple of 28700 and 28705?

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 28700 and 28705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28700 and 28705, than apply into the LCM equation.

GCF(28700,28705) = 5
LCM(28700,28705) = ( 28700 × 28705) / 5
LCM(28700,28705) = 823833500 / 5
LCM(28700,28705) = 164766700

Least Common Multiple (LCM) of 28700 and 28705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28700 and 28705. First we will calculate the prime factors of 28700 and 28705.

Prime Factorization of 28700

Prime Factorization of 28705

Now multiplying the highest exponent prime factors to calculate the LCM of 28700 and 28705.

LCM(28700,28705) = 2² × 5² × 7¹ × 41¹ × 5741¹
LCM(28700,28705) = 164766700