What is the Least Common Multiple of 32472 and 32478?

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 32472 and 32478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32472 and 32478, than apply into the LCM equation.

GCF(32472,32478) = 6
LCM(32472,32478) = ( 32472 × 32478) / 6
LCM(32472,32478) = 1054625616 / 6
LCM(32472,32478) = 175770936

Least Common Multiple (LCM) of 32472 and 32478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32472 and 32478. First we will calculate the prime factors of 32472 and 32478.

Prime Factorization of 32472

Prime Factorization of 32478

Now multiplying the highest exponent prime factors to calculate the LCM of 32472 and 32478.

LCM(32472,32478) = 2³ × 3² × 11¹ × 41¹ × 5413¹
LCM(32472,32478) = 175770936