What is the Least Common Multiple of 84729 and 84745?

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 84745 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 84745, than apply into the LCM equation.

GCF(84729,84745) = 1
LCM(84729,84745) = ( 84729 × 84745) / 1
LCM(84729,84745) = 7180359105 / 1
LCM(84729,84745) = 7180359105

Least Common Multiple (LCM) of 84729 and 84745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84729 and 84745. First we will calculate the prime factors of 84729 and 84745.

Prime Factorization of 84729

Prime Factorization of 84745

Now multiplying the highest exponent prime factors to calculate the LCM of 84729 and 84745.

LCM(84729,84745) = 3¹ × 61¹ × 463¹ × 5¹ × 17¹ × 997¹
LCM(84729,84745) = 7180359105