What is the Least Common Multiple of 6057 and 6069?

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 6057 and 6069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6057 and 6069, than apply into the LCM equation.

GCF(6057,6069) = 3
LCM(6057,6069) = ( 6057 × 6069) / 3
LCM(6057,6069) = 36759933 / 3
LCM(6057,6069) = 12253311

Least Common Multiple (LCM) of 6057 and 6069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6057 and 6069. First we will calculate the prime factors of 6057 and 6069.

Prime Factorization of 6057

Prime Factorization of 6069

Now multiplying the highest exponent prime factors to calculate the LCM of 6057 and 6069.

LCM(6057,6069) = 3² × 673¹ × 7¹ × 17²
LCM(6057,6069) = 12253311