What is the Least Common Multiple of 72738 and 72752?

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 72738 and 72752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72738 and 72752, than apply into the LCM equation.

GCF(72738,72752) = 2
LCM(72738,72752) = ( 72738 × 72752) / 2
LCM(72738,72752) = 5291834976 / 2
LCM(72738,72752) = 2645917488

Least Common Multiple (LCM) of 72738 and 72752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72738 and 72752. First we will calculate the prime factors of 72738 and 72752.

Prime Factorization of 72738

Prime Factorization of 72752

Now multiplying the highest exponent prime factors to calculate the LCM of 72738 and 72752.

LCM(72738,72752) = 2⁴ × 3⁴ × 449¹ × 4547¹
LCM(72738,72752) = 2645917488