What is the Least Common Multiple of 72670 and 72684?

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 72670 and 72684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72670 and 72684, than apply into the LCM equation.

GCF(72670,72684) = 2
LCM(72670,72684) = ( 72670 × 72684) / 2
LCM(72670,72684) = 5281946280 / 2
LCM(72670,72684) = 2640973140

Least Common Multiple (LCM) of 72670 and 72684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72670 and 72684. First we will calculate the prime factors of 72670 and 72684.

Prime Factorization of 72670

Prime Factorization of 72684

Now multiplying the highest exponent prime factors to calculate the LCM of 72670 and 72684.

LCM(72670,72684) = 2² × 5¹ × 13² × 43¹ × 3³ × 673¹
LCM(72670,72684) = 2640973140