What is the Least Common Multiple of 84078 and 84093?

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 84078 and 84093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84078 and 84093, than apply into the LCM equation.

GCF(84078,84093) = 3
LCM(84078,84093) = ( 84078 × 84093) / 3
LCM(84078,84093) = 7070371254 / 3
LCM(84078,84093) = 2356790418

Least Common Multiple (LCM) of 84078 and 84093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84078 and 84093. First we will calculate the prime factors of 84078 and 84093.

Prime Factorization of 84078

Prime Factorization of 84093

Now multiplying the highest exponent prime factors to calculate the LCM of 84078 and 84093.

LCM(84078,84093) = 2¹ × 3⁵ × 173¹ × 28031¹
LCM(84078,84093) = 2356790418