What is the Least Common Multiple of 62585 and 62599?

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 62585 and 62599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62585 and 62599, than apply into the LCM equation.

GCF(62585,62599) = 1
LCM(62585,62599) = ( 62585 × 62599) / 1
LCM(62585,62599) = 3917758415 / 1
LCM(62585,62599) = 3917758415

Least Common Multiple (LCM) of 62585 and 62599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62585 and 62599. First we will calculate the prime factors of 62585 and 62599.

Prime Factorization of 62585

Prime Factorization of 62599

Now multiplying the highest exponent prime factors to calculate the LCM of 62585 and 62599.

LCM(62585,62599) = 5¹ × 12517¹ × 59¹ × 1061¹
LCM(62585,62599) = 3917758415