What is the Least Common Multiple of 82788 and 82796?

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 82788 and 82796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82788 and 82796, than apply into the LCM equation.

GCF(82788,82796) = 4
LCM(82788,82796) = ( 82788 × 82796) / 4
LCM(82788,82796) = 6854515248 / 4
LCM(82788,82796) = 1713628812

Least Common Multiple (LCM) of 82788 and 82796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82788 and 82796. First we will calculate the prime factors of 82788 and 82796.

Prime Factorization of 82788

Prime Factorization of 82796

Now multiplying the highest exponent prime factors to calculate the LCM of 82788 and 82796.

LCM(82788,82796) = 2² × 3¹ × 6899¹ × 7¹ × 2957¹
LCM(82788,82796) = 1713628812