What is the Least Common Multiple of 72360 and 72376?

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 72360 and 72376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72360 and 72376, than apply into the LCM equation.

GCF(72360,72376) = 8
LCM(72360,72376) = ( 72360 × 72376) / 8
LCM(72360,72376) = 5237127360 / 8
LCM(72360,72376) = 654640920

Least Common Multiple (LCM) of 72360 and 72376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72360 and 72376. First we will calculate the prime factors of 72360 and 72376.

Prime Factorization of 72360

Prime Factorization of 72376

Now multiplying the highest exponent prime factors to calculate the LCM of 72360 and 72376.

LCM(72360,72376) = 2³ × 3³ × 5¹ × 67¹ × 83¹ × 109¹
LCM(72360,72376) = 654640920