What is the Least Common Multiple of 84920 and 84939?

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 84920 and 84939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84920 and 84939, than apply into the LCM equation.

GCF(84920,84939) = 1
LCM(84920,84939) = ( 84920 × 84939) / 1
LCM(84920,84939) = 7213019880 / 1
LCM(84920,84939) = 7213019880

Least Common Multiple (LCM) of 84920 and 84939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84920 and 84939. First we will calculate the prime factors of 84920 and 84939.

Prime Factorization of 84920

Prime Factorization of 84939

Now multiplying the highest exponent prime factors to calculate the LCM of 84920 and 84939.

LCM(84920,84939) = 2³ × 5¹ × 11¹ × 193¹ × 3¹ × 23¹ × 1231¹
LCM(84920,84939) = 7213019880