What is the Least Common Multiple of 72444 and 72451?

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 72444 and 72451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72444 and 72451, than apply into the LCM equation.

GCF(72444,72451) = 1
LCM(72444,72451) = ( 72444 × 72451) / 1
LCM(72444,72451) = 5248640244 / 1
LCM(72444,72451) = 5248640244

Least Common Multiple (LCM) of 72444 and 72451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72444 and 72451. First we will calculate the prime factors of 72444 and 72451.

Prime Factorization of 72444

Prime Factorization of 72451

Now multiplying the highest exponent prime factors to calculate the LCM of 72444 and 72451.

LCM(72444,72451) = 2² × 3¹ × 6037¹ × 53¹ × 1367¹
LCM(72444,72451) = 5248640244