What is the Least Common Multiple of 29472 and 29478?

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 29472 and 29478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29472 and 29478, than apply into the LCM equation.

GCF(29472,29478) = 6
LCM(29472,29478) = ( 29472 × 29478) / 6
LCM(29472,29478) = 868775616 / 6
LCM(29472,29478) = 144795936

Least Common Multiple (LCM) of 29472 and 29478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29472 and 29478. First we will calculate the prime factors of 29472 and 29478.

Prime Factorization of 29472

Prime Factorization of 29478

Now multiplying the highest exponent prime factors to calculate the LCM of 29472 and 29478.

LCM(29472,29478) = 2⁵ × 3¹ × 307¹ × 17³
LCM(29472,29478) = 144795936