What is the Least Common Multiple of 57054 and 57069?

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 57054 and 57069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57054 and 57069, than apply into the LCM equation.

GCF(57054,57069) = 3
LCM(57054,57069) = ( 57054 × 57069) / 3
LCM(57054,57069) = 3256014726 / 3
LCM(57054,57069) = 1085338242

Least Common Multiple (LCM) of 57054 and 57069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57054 and 57069. First we will calculate the prime factors of 57054 and 57069.

Prime Factorization of 57054

Prime Factorization of 57069

Now multiplying the highest exponent prime factors to calculate the LCM of 57054 and 57069.

LCM(57054,57069) = 2¹ × 3² × 37¹ × 257¹ × 17¹ × 373¹
LCM(57054,57069) = 1085338242