What is the Least Common Multiple of 27057 and 27069?

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 27057 and 27069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27057 and 27069, than apply into the LCM equation.

GCF(27057,27069) = 3
LCM(27057,27069) = ( 27057 × 27069) / 3
LCM(27057,27069) = 732405933 / 3
LCM(27057,27069) = 244135311

Least Common Multiple (LCM) of 27057 and 27069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27057 and 27069. First we will calculate the prime factors of 27057 and 27069.

Prime Factorization of 27057

Prime Factorization of 27069

Now multiplying the highest exponent prime factors to calculate the LCM of 27057 and 27069.

LCM(27057,27069) = 3¹ × 29¹ × 311¹ × 7¹ × 1289¹
LCM(27057,27069) = 244135311