What is the Least Common Multiple of 32241 and 32259?

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 32241 and 32259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32241 and 32259, than apply into the LCM equation.

GCF(32241,32259) = 3
LCM(32241,32259) = ( 32241 × 32259) / 3
LCM(32241,32259) = 1040062419 / 3
LCM(32241,32259) = 346687473

Least Common Multiple (LCM) of 32241 and 32259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32241 and 32259. First we will calculate the prime factors of 32241 and 32259.

Prime Factorization of 32241

Prime Factorization of 32259

Now multiplying the highest exponent prime factors to calculate the LCM of 32241 and 32259.

LCM(32241,32259) = 3¹ × 11¹ × 977¹ × 10753¹
LCM(32241,32259) = 346687473