What is the Least Common Multiple of 81042 and 81056?

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 81042 and 81056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81042 and 81056, than apply into the LCM equation.

GCF(81042,81056) = 2
LCM(81042,81056) = ( 81042 × 81056) / 2
LCM(81042,81056) = 6568940352 / 2
LCM(81042,81056) = 3284470176

Least Common Multiple (LCM) of 81042 and 81056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81042 and 81056. First we will calculate the prime factors of 81042 and 81056.

Prime Factorization of 81042

Prime Factorization of 81056

Now multiplying the highest exponent prime factors to calculate the LCM of 81042 and 81056.

LCM(81042,81056) = 2⁵ × 3¹ × 13¹ × 1039¹ × 17¹ × 149¹
LCM(81042,81056) = 3284470176