What is the Least Common Multiple of 27344 and 27348?

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 27344 and 27348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27344 and 27348, than apply into the LCM equation.

GCF(27344,27348) = 4
LCM(27344,27348) = ( 27344 × 27348) / 4
LCM(27344,27348) = 747803712 / 4
LCM(27344,27348) = 186950928

Least Common Multiple (LCM) of 27344 and 27348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27344 and 27348. First we will calculate the prime factors of 27344 and 27348.

Prime Factorization of 27344

Prime Factorization of 27348

Now multiplying the highest exponent prime factors to calculate the LCM of 27344 and 27348.

LCM(27344,27348) = 2⁴ × 1709¹ × 3¹ × 43¹ × 53¹
LCM(27344,27348) = 186950928