What is the Least Common Multiple of 28072 and 28085?

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 28072 and 28085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28072 and 28085, than apply into the LCM equation.

GCF(28072,28085) = 1
LCM(28072,28085) = ( 28072 × 28085) / 1
LCM(28072,28085) = 788402120 / 1
LCM(28072,28085) = 788402120

Least Common Multiple (LCM) of 28072 and 28085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28072 and 28085. First we will calculate the prime factors of 28072 and 28085.

Prime Factorization of 28072

Prime Factorization of 28085

Now multiplying the highest exponent prime factors to calculate the LCM of 28072 and 28085.

LCM(28072,28085) = 2³ × 11² × 29¹ × 5¹ × 41¹ × 137¹
LCM(28072,28085) = 788402120