What is the Least Common Multiple of 84939 and 84954?

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 84939 and 84954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84939 and 84954, than apply into the LCM equation.

GCF(84939,84954) = 3
LCM(84939,84954) = ( 84939 × 84954) / 3
LCM(84939,84954) = 7215907806 / 3
LCM(84939,84954) = 2405302602

Least Common Multiple (LCM) of 84939 and 84954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84939 and 84954. First we will calculate the prime factors of 84939 and 84954.

Prime Factorization of 84939

Prime Factorization of 84954

Now multiplying the highest exponent prime factors to calculate the LCM of 84939 and 84954.

LCM(84939,84954) = 3¹ × 23¹ × 1231¹ × 2¹ × 14159¹
LCM(84939,84954) = 2405302602