What is the Least Common Multiple of 72324 and 72336?

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 72324 and 72336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72324 and 72336, than apply into the LCM equation.

GCF(72324,72336) = 12
LCM(72324,72336) = ( 72324 × 72336) / 12
LCM(72324,72336) = 5231628864 / 12
LCM(72324,72336) = 435969072

Least Common Multiple (LCM) of 72324 and 72336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72324 and 72336. First we will calculate the prime factors of 72324 and 72336.

Prime Factorization of 72324

Prime Factorization of 72336

Now multiplying the highest exponent prime factors to calculate the LCM of 72324 and 72336.

LCM(72324,72336) = 2⁴ × 3² × 7² × 41¹ × 11¹ × 137¹
LCM(72324,72336) = 435969072