What is the Least Common Multiple of 82038 and 82056?

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 82038 and 82056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82038 and 82056, than apply into the LCM equation.

GCF(82038,82056) = 6
LCM(82038,82056) = ( 82038 × 82056) / 6
LCM(82038,82056) = 6731710128 / 6
LCM(82038,82056) = 1121951688

Least Common Multiple (LCM) of 82038 and 82056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82038 and 82056. First we will calculate the prime factors of 82038 and 82056.

Prime Factorization of 82038

Prime Factorization of 82056

Now multiplying the highest exponent prime factors to calculate the LCM of 82038 and 82056.

LCM(82038,82056) = 2³ × 3¹ × 11² × 113¹ × 13¹ × 263¹
LCM(82038,82056) = 1121951688