What is the Least Common Multiple of 60585 and 60590?

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 60585 and 60590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60585 and 60590, than apply into the LCM equation.

GCF(60585,60590) = 5
LCM(60585,60590) = ( 60585 × 60590) / 5
LCM(60585,60590) = 3670845150 / 5
LCM(60585,60590) = 734169030

Least Common Multiple (LCM) of 60585 and 60590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60585 and 60590. First we will calculate the prime factors of 60585 and 60590.

Prime Factorization of 60585

Prime Factorization of 60590

Now multiplying the highest exponent prime factors to calculate the LCM of 60585 and 60590.

LCM(60585,60590) = 3¹ × 5¹ × 7¹ × 577¹ × 2¹ × 73¹ × 83¹
LCM(60585,60590) = 734169030