What is the Least Common Multiple of 32454 and 32472?

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 32454 and 32472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32454 and 32472, than apply into the LCM equation.

GCF(32454,32472) = 18
LCM(32454,32472) = ( 32454 × 32472) / 18
LCM(32454,32472) = 1053846288 / 18
LCM(32454,32472) = 58547016

Least Common Multiple (LCM) of 32454 and 32472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32454 and 32472. First we will calculate the prime factors of 32454 and 32472.

Prime Factorization of 32454

Prime Factorization of 32472

Now multiplying the highest exponent prime factors to calculate the LCM of 32454 and 32472.

LCM(32454,32472) = 2³ × 3³ × 601¹ × 11¹ × 41¹
LCM(32454,32472) = 58547016