What is the Least Common Multiple of 60580 and 60585?

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 60580 and 60585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60580 and 60585, than apply into the LCM equation.

GCF(60580,60585) = 5
LCM(60580,60585) = ( 60580 × 60585) / 5
LCM(60580,60585) = 3670239300 / 5
LCM(60580,60585) = 734047860

Least Common Multiple (LCM) of 60580 and 60585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60580 and 60585. First we will calculate the prime factors of 60580 and 60585.

Prime Factorization of 60580

Prime Factorization of 60585

Now multiplying the highest exponent prime factors to calculate the LCM of 60580 and 60585.

LCM(60580,60585) = 2² × 5¹ × 13¹ × 233¹ × 3¹ × 7¹ × 577¹
LCM(60580,60585) = 734047860