What is the Least Common Multiple of 84828 and 84837?

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 84828 and 84837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84828 and 84837, than apply into the LCM equation.

GCF(84828,84837) = 3
LCM(84828,84837) = ( 84828 × 84837) / 3
LCM(84828,84837) = 7196553036 / 3
LCM(84828,84837) = 2398851012

Least Common Multiple (LCM) of 84828 and 84837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84828 and 84837. First we will calculate the prime factors of 84828 and 84837.

Prime Factorization of 84828

Prime Factorization of 84837

Now multiplying the highest exponent prime factors to calculate the LCM of 84828 and 84837.

LCM(84828,84837) = 2² × 3¹ × 7069¹ × 28279¹
LCM(84828,84837) = 2398851012