What is the Least Common Multiple of 84615 and 84623?

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 84615 and 84623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84615 and 84623, than apply into the LCM equation.

GCF(84615,84623) = 1
LCM(84615,84623) = ( 84615 × 84623) / 1
LCM(84615,84623) = 7160375145 / 1
LCM(84615,84623) = 7160375145

Least Common Multiple (LCM) of 84615 and 84623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84615 and 84623. First we will calculate the prime factors of 84615 and 84623.

Prime Factorization of 84615

Prime Factorization of 84623

Now multiplying the highest exponent prime factors to calculate the LCM of 84615 and 84623.

LCM(84615,84623) = 3¹ × 5¹ × 5641¹ × 7² × 11¹ × 157¹
LCM(84615,84623) = 7160375145