What is the Least Common Multiple of 32472 and 32481?

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 32481 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 32481, than apply into the LCM equation.

GCF(32472,32481) = 9
LCM(32472,32481) = ( 32472 × 32481) / 9
LCM(32472,32481) = 1054723032 / 9
LCM(32472,32481) = 117191448

Least Common Multiple (LCM) of 32472 and 32481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32472 and 32481. First we will calculate the prime factors of 32472 and 32481.

Prime Factorization of 32472

Prime Factorization of 32481

Now multiplying the highest exponent prime factors to calculate the LCM of 32472 and 32481.

LCM(32472,32481) = 2³ × 3⁴ × 11¹ × 41¹ × 401¹
LCM(32472,32481) = 117191448