What is the Least Common Multiple of 70590 and 70599?

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 70590 and 70599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70590 and 70599, than apply into the LCM equation.

GCF(70590,70599) = 3
LCM(70590,70599) = ( 70590 × 70599) / 3
LCM(70590,70599) = 4983583410 / 3
LCM(70590,70599) = 1661194470

Least Common Multiple (LCM) of 70590 and 70599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70590 and 70599. First we will calculate the prime factors of 70590 and 70599.

Prime Factorization of 70590

Prime Factorization of 70599

Now multiplying the highest exponent prime factors to calculate the LCM of 70590 and 70599.

LCM(70590,70599) = 2¹ × 3¹ × 5¹ × 13¹ × 181¹ × 101¹ × 233¹
LCM(70590,70599) = 1661194470