What is the Least Common Multiple of 56590 and 56605?

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 56605 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 56605, than apply into the LCM equation.

GCF(56590,56605) = 5
LCM(56590,56605) = ( 56590 × 56605) / 5
LCM(56590,56605) = 3203276950 / 5
LCM(56590,56605) = 640655390

Least Common Multiple (LCM) of 56590 and 56605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56590 and 56605. First we will calculate the prime factors of 56590 and 56605.

Prime Factorization of 56590

Prime Factorization of 56605

Now multiplying the highest exponent prime factors to calculate the LCM of 56590 and 56605.

LCM(56590,56605) = 2¹ × 5¹ × 5659¹ × 11321¹
LCM(56590,56605) = 640655390