What is the Least Common Multiple of 82718 and 82729?

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 82718 and 82729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82718 and 82729, than apply into the LCM equation.

GCF(82718,82729) = 1
LCM(82718,82729) = ( 82718 × 82729) / 1
LCM(82718,82729) = 6843177422 / 1
LCM(82718,82729) = 6843177422

Least Common Multiple (LCM) of 82718 and 82729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82718 and 82729. First we will calculate the prime factors of 82718 and 82729.

Prime Factorization of 82718

Prime Factorization of 82729

Now multiplying the highest exponent prime factors to calculate the LCM of 82718 and 82729.

LCM(82718,82729) = 2¹ × 59¹ × 701¹ × 82729¹
LCM(82718,82729) = 6843177422