What is the Least Common Multiple of 32441 and 32458?

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 32441 and 32458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32441 and 32458, than apply into the LCM equation.

GCF(32441,32458) = 1
LCM(32441,32458) = ( 32441 × 32458) / 1
LCM(32441,32458) = 1052969978 / 1
LCM(32441,32458) = 1052969978

Least Common Multiple (LCM) of 32441 and 32458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32441 and 32458. First we will calculate the prime factors of 32441 and 32458.

Prime Factorization of 32441

Prime Factorization of 32458

Now multiplying the highest exponent prime factors to calculate the LCM of 32441 and 32458.

LCM(32441,32458) = 32441¹ × 2¹ × 16229¹
LCM(32441,32458) = 1052969978