What is the Least Common Multiple of 84729 and 84747?

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 84729 and 84747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84729 and 84747, than apply into the LCM equation.

GCF(84729,84747) = 3
LCM(84729,84747) = ( 84729 × 84747) / 3
LCM(84729,84747) = 7180528563 / 3
LCM(84729,84747) = 2393509521

Least Common Multiple (LCM) of 84729 and 84747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84729 and 84747. First we will calculate the prime factors of 84729 and 84747.

Prime Factorization of 84729

Prime Factorization of 84747

Now multiplying the highest exponent prime factors to calculate the LCM of 84729 and 84747.

LCM(84729,84747) = 3¹ × 61¹ × 463¹ × 13¹ × 41¹ × 53¹
LCM(84729,84747) = 2393509521