What is the Least Common Multiple of 72336 and 72342?

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 72336 and 72342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72336 and 72342, than apply into the LCM equation.

GCF(72336,72342) = 6
LCM(72336,72342) = ( 72336 × 72342) / 6
LCM(72336,72342) = 5232930912 / 6
LCM(72336,72342) = 872155152

Least Common Multiple (LCM) of 72336 and 72342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72336 and 72342. First we will calculate the prime factors of 72336 and 72342.

Prime Factorization of 72336

Prime Factorization of 72342

Now multiplying the highest exponent prime factors to calculate the LCM of 72336 and 72342.

LCM(72336,72342) = 2⁴ × 3² × 11¹ × 137¹ × 4019¹
LCM(72336,72342) = 872155152