What is the Least Common Multiple of 82788 and 82795?

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 82795 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 82795, than apply into the LCM equation.

GCF(82788,82795) = 1
LCM(82788,82795) = ( 82788 × 82795) / 1
LCM(82788,82795) = 6854432460 / 1
LCM(82788,82795) = 6854432460

Least Common Multiple (LCM) of 82788 and 82795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82788 and 82795. First we will calculate the prime factors of 82788 and 82795.

Prime Factorization of 82788

Prime Factorization of 82795

Now multiplying the highest exponent prime factors to calculate the LCM of 82788 and 82795.

LCM(82788,82795) = 2² × 3¹ × 6899¹ × 5¹ × 29¹ × 571¹
LCM(82788,82795) = 6854432460