What is the Least Common Multiple of 59590 and 59599?

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 59590 and 59599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59590 and 59599, than apply into the LCM equation.

GCF(59590,59599) = 1
LCM(59590,59599) = ( 59590 × 59599) / 1
LCM(59590,59599) = 3551504410 / 1
LCM(59590,59599) = 3551504410

Least Common Multiple (LCM) of 59590 and 59599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59590 and 59599. First we will calculate the prime factors of 59590 and 59599.

Prime Factorization of 59590

Prime Factorization of 59599

Now multiplying the highest exponent prime factors to calculate the LCM of 59590 and 59599.

LCM(59590,59599) = 2¹ × 5¹ × 59¹ × 101¹ × 107¹ × 557¹
LCM(59590,59599) = 3551504410