What is the Least Common Multiple of 82876 and 82893?

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 82876 and 82893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82876 and 82893, than apply into the LCM equation.

GCF(82876,82893) = 1
LCM(82876,82893) = ( 82876 × 82893) / 1
LCM(82876,82893) = 6869840268 / 1
LCM(82876,82893) = 6869840268

Least Common Multiple (LCM) of 82876 and 82893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82876 and 82893. First we will calculate the prime factors of 82876 and 82893.

Prime Factorization of 82876

Prime Factorization of 82893

Now multiplying the highest exponent prime factors to calculate the LCM of 82876 and 82893.

LCM(82876,82893) = 2² × 20719¹ × 3¹ × 27631¹
LCM(82876,82893) = 6869840268