What is the Least Common Multiple of 32519 and 32538?

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 32519 and 32538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32519 and 32538, than apply into the LCM equation.

GCF(32519,32538) = 1
LCM(32519,32538) = ( 32519 × 32538) / 1
LCM(32519,32538) = 1058103222 / 1
LCM(32519,32538) = 1058103222

Least Common Multiple (LCM) of 32519 and 32538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32519 and 32538. First we will calculate the prime factors of 32519 and 32538.

Prime Factorization of 32519

Prime Factorization of 32538

Now multiplying the highest exponent prime factors to calculate the LCM of 32519 and 32538.

LCM(32519,32538) = 31¹ × 1049¹ × 2¹ × 3¹ × 11¹ × 17¹ × 29¹
LCM(32519,32538) = 1058103222