What is the Least Common Multiple of 56580 and 56590?

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 56580 and 56590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56580 and 56590, than apply into the LCM equation.

GCF(56580,56590) = 10
LCM(56580,56590) = ( 56580 × 56590) / 10
LCM(56580,56590) = 3201862200 / 10
LCM(56580,56590) = 320186220

Least Common Multiple (LCM) of 56580 and 56590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56590. First we will calculate the prime factors of 56580 and 56590.

Prime Factorization of 56580

Prime Factorization of 56590

Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56590.

LCM(56580,56590) = 2² × 3¹ × 5¹ × 23¹ × 41¹ × 5659¹
LCM(56580,56590) = 320186220