What is the Least Common Multiple of 56070 and 56085?

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 56070 and 56085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56070 and 56085, than apply into the LCM equation.

GCF(56070,56085) = 15
LCM(56070,56085) = ( 56070 × 56085) / 15
LCM(56070,56085) = 3144685950 / 15
LCM(56070,56085) = 209645730

Least Common Multiple (LCM) of 56070 and 56085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56070 and 56085. First we will calculate the prime factors of 56070 and 56085.

Prime Factorization of 56070

Prime Factorization of 56085

Now multiplying the highest exponent prime factors to calculate the LCM of 56070 and 56085.

LCM(56070,56085) = 2¹ × 3² × 5¹ × 7¹ × 89¹ × 3739¹
LCM(56070,56085) = 209645730