What is the Least Common Multiple of 32425 and 32441?

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 32425 and 32441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32425 and 32441, than apply into the LCM equation.

GCF(32425,32441) = 1
LCM(32425,32441) = ( 32425 × 32441) / 1
LCM(32425,32441) = 1051899425 / 1
LCM(32425,32441) = 1051899425

Least Common Multiple (LCM) of 32425 and 32441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32425 and 32441. First we will calculate the prime factors of 32425 and 32441.

Prime Factorization of 32425

Prime Factorization of 32441

Now multiplying the highest exponent prime factors to calculate the LCM of 32425 and 32441.

LCM(32425,32441) = 5² × 1297¹ × 32441¹
LCM(32425,32441) = 1051899425