What is the Least Common Multiple of 81054 and 81069?

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 81054 and 81069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81054 and 81069, than apply into the LCM equation.

GCF(81054,81069) = 3
LCM(81054,81069) = ( 81054 × 81069) / 3
LCM(81054,81069) = 6570966726 / 3
LCM(81054,81069) = 2190322242

Least Common Multiple (LCM) of 81054 and 81069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81054 and 81069. First we will calculate the prime factors of 81054 and 81069.

Prime Factorization of 81054

Prime Factorization of 81069

Now multiplying the highest exponent prime factors to calculate the LCM of 81054 and 81069.

LCM(81054,81069) = 2¹ × 3³ × 19¹ × 79¹ × 61¹ × 443¹
LCM(81054,81069) = 2190322242