What is the Least Common Multiple of 82732 and 82746?

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 82732 and 82746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82732 and 82746, than apply into the LCM equation.

GCF(82732,82746) = 2
LCM(82732,82746) = ( 82732 × 82746) / 2
LCM(82732,82746) = 6845742072 / 2
LCM(82732,82746) = 3422871036

Least Common Multiple (LCM) of 82732 and 82746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82732 and 82746. First we will calculate the prime factors of 82732 and 82746.

Prime Factorization of 82732

Prime Factorization of 82746

Now multiplying the highest exponent prime factors to calculate the LCM of 82732 and 82746.

LCM(82732,82746) = 2² × 13¹ × 37¹ × 43¹ × 3² × 4597¹
LCM(82732,82746) = 3422871036