What is the Least Common Multiple of 84918 and 84933?

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 84918 and 84933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84918 and 84933, than apply into the LCM equation.

GCF(84918,84933) = 3
LCM(84918,84933) = ( 84918 × 84933) / 3
LCM(84918,84933) = 7212340494 / 3
LCM(84918,84933) = 2404113498

Least Common Multiple (LCM) of 84918 and 84933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84918 and 84933. First we will calculate the prime factors of 84918 and 84933.

Prime Factorization of 84918

Prime Factorization of 84933

Now multiplying the highest exponent prime factors to calculate the LCM of 84918 and 84933.

LCM(84918,84933) = 2¹ × 3² × 14153¹ × 9437¹
LCM(84918,84933) = 2404113498