What is the Least Common Multiple of 84600 and 84617?

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 84600 and 84617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84600 and 84617, than apply into the LCM equation.

GCF(84600,84617) = 1
LCM(84600,84617) = ( 84600 × 84617) / 1
LCM(84600,84617) = 7158598200 / 1
LCM(84600,84617) = 7158598200

Least Common Multiple (LCM) of 84600 and 84617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84600 and 84617. First we will calculate the prime factors of 84600 and 84617.

Prime Factorization of 84600

Prime Factorization of 84617

Now multiplying the highest exponent prime factors to calculate the LCM of 84600 and 84617.

LCM(84600,84617) = 2³ × 3² × 5² × 47¹ × 13¹ × 23¹ × 283¹
LCM(84600,84617) = 7158598200