What is the Least Common Multiple of 27438 and 27444?

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 27438 and 27444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27438 and 27444, than apply into the LCM equation.

GCF(27438,27444) = 6
LCM(27438,27444) = ( 27438 × 27444) / 6
LCM(27438,27444) = 753008472 / 6
LCM(27438,27444) = 125501412

Least Common Multiple (LCM) of 27438 and 27444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27438 and 27444. First we will calculate the prime factors of 27438 and 27444.

Prime Factorization of 27438

Prime Factorization of 27444

Now multiplying the highest exponent prime factors to calculate the LCM of 27438 and 27444.

LCM(27438,27444) = 2² × 3¹ × 17¹ × 269¹ × 2287¹
LCM(27438,27444) = 125501412