What is the Least Common Multiple of 59585 and 59590?

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 59585 and 59590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59585 and 59590, than apply into the LCM equation.

GCF(59585,59590) = 5
LCM(59585,59590) = ( 59585 × 59590) / 5
LCM(59585,59590) = 3550670150 / 5
LCM(59585,59590) = 710134030

Least Common Multiple (LCM) of 59585 and 59590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59585 and 59590. First we will calculate the prime factors of 59585 and 59590.

Prime Factorization of 59585

Prime Factorization of 59590

Now multiplying the highest exponent prime factors to calculate the LCM of 59585 and 59590.

LCM(59585,59590) = 5¹ × 17¹ × 701¹ × 2¹ × 59¹ × 101¹
LCM(59585,59590) = 710134030