What is the Least Common Multiple of 73248 and 73257?

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 73248 and 73257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73248 and 73257, than apply into the LCM equation.

GCF(73248,73257) = 3
LCM(73248,73257) = ( 73248 × 73257) / 3
LCM(73248,73257) = 5365928736 / 3
LCM(73248,73257) = 1788642912

Least Common Multiple (LCM) of 73248 and 73257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73248 and 73257. First we will calculate the prime factors of 73248 and 73257.

Prime Factorization of 73248

Prime Factorization of 73257

Now multiplying the highest exponent prime factors to calculate the LCM of 73248 and 73257.

LCM(73248,73257) = 2⁵ × 3¹ × 7¹ × 109¹ × 24419¹
LCM(73248,73257) = 1788642912