What is the Least Common Multiple of 32451 and 32466?

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 32451 and 32466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32451 and 32466, than apply into the LCM equation.

GCF(32451,32466) = 3
LCM(32451,32466) = ( 32451 × 32466) / 3
LCM(32451,32466) = 1053554166 / 3
LCM(32451,32466) = 351184722

Least Common Multiple (LCM) of 32451 and 32466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32451 and 32466. First we will calculate the prime factors of 32451 and 32466.

Prime Factorization of 32451

Prime Factorization of 32466

Now multiplying the highest exponent prime factors to calculate the LCM of 32451 and 32466.

LCM(32451,32466) = 3¹ × 29¹ × 373¹ × 2¹ × 7¹ × 773¹
LCM(32451,32466) = 351184722