What is the Least Common Multiple of 84659 and 84677?

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 84659 and 84677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84659 and 84677, than apply into the LCM equation.

GCF(84659,84677) = 1
LCM(84659,84677) = ( 84659 × 84677) / 1
LCM(84659,84677) = 7168670143 / 1
LCM(84659,84677) = 7168670143

Least Common Multiple (LCM) of 84659 and 84677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84659 and 84677. First we will calculate the prime factors of 84659 and 84677.

Prime Factorization of 84659

Prime Factorization of 84677

Now multiplying the highest exponent prime factors to calculate the LCM of 84659 and 84677.

LCM(84659,84677) = 84659¹ × 17² × 293¹
LCM(84659,84677) = 7168670143