What is the Least Common Multiple of 56590 and 56610?

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 56590 and 56610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56590 and 56610, than apply into the LCM equation.

GCF(56590,56610) = 10
LCM(56590,56610) = ( 56590 × 56610) / 10
LCM(56590,56610) = 3203559900 / 10
LCM(56590,56610) = 320355990

Least Common Multiple (LCM) of 56590 and 56610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56590 and 56610. First we will calculate the prime factors of 56590 and 56610.

Prime Factorization of 56590

Prime Factorization of 56610

Now multiplying the highest exponent prime factors to calculate the LCM of 56590 and 56610.

LCM(56590,56610) = 2¹ × 5¹ × 5659¹ × 3² × 17¹ × 37¹
LCM(56590,56610) = 320355990