What is the Least Common Multiple of 84519 and 84538?

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 84519 and 84538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84519 and 84538, than apply into the LCM equation.

GCF(84519,84538) = 1
LCM(84519,84538) = ( 84519 × 84538) / 1
LCM(84519,84538) = 7145067222 / 1
LCM(84519,84538) = 7145067222

Least Common Multiple (LCM) of 84519 and 84538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84519 and 84538. First we will calculate the prime factors of 84519 and 84538.

Prime Factorization of 84519

Prime Factorization of 84538

Now multiplying the highest exponent prime factors to calculate the LCM of 84519 and 84538.

LCM(84519,84538) = 3² × 9391¹ × 2¹ × 43¹ × 983¹
LCM(84519,84538) = 7145067222