What is the Least Common Multiple of 84087 and 84102?

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 84087 and 84102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84087 and 84102, than apply into the LCM equation.

GCF(84087,84102) = 3
LCM(84087,84102) = ( 84087 × 84102) / 3
LCM(84087,84102) = 7071884874 / 3
LCM(84087,84102) = 2357294958

Least Common Multiple (LCM) of 84087 and 84102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84087 and 84102. First we will calculate the prime factors of 84087 and 84102.

Prime Factorization of 84087

Prime Factorization of 84102

Now multiplying the highest exponent prime factors to calculate the LCM of 84087 and 84102.

LCM(84087,84102) = 3² × 9343¹ × 2¹ × 107¹ × 131¹
LCM(84087,84102) = 2357294958