What is the Least Common Multiple of 72360 and 72372?

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 72372 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 72372, than apply into the LCM equation.

GCF(72360,72372) = 12
LCM(72360,72372) = ( 72360 × 72372) / 12
LCM(72360,72372) = 5236837920 / 12
LCM(72360,72372) = 436403160

Least Common Multiple (LCM) of 72360 and 72372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72360 and 72372. First we will calculate the prime factors of 72360 and 72372.

Prime Factorization of 72360

Prime Factorization of 72372

Now multiplying the highest exponent prime factors to calculate the LCM of 72360 and 72372.

LCM(72360,72372) = 2³ × 3³ × 5¹ × 67¹ × 37¹ × 163¹
LCM(72360,72372) = 436403160