What is the Least Common Multiple of 84714 and 84729?

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 84714 and 84729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84714 and 84729, than apply into the LCM equation.

GCF(84714,84729) = 3
LCM(84714,84729) = ( 84714 × 84729) / 3
LCM(84714,84729) = 7177732506 / 3
LCM(84714,84729) = 2392577502

Least Common Multiple (LCM) of 84714 and 84729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84714 and 84729. First we will calculate the prime factors of 84714 and 84729.

Prime Factorization of 84714

Prime Factorization of 84729

Now multiplying the highest exponent prime factors to calculate the LCM of 84714 and 84729.

LCM(84714,84729) = 2¹ × 3¹ × 7¹ × 2017¹ × 61¹ × 463¹
LCM(84714,84729) = 2392577502