What is the Least Common Multiple of 27540 and 27544?

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 27540 and 27544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27540 and 27544, than apply into the LCM equation.

GCF(27540,27544) = 4
LCM(27540,27544) = ( 27540 × 27544) / 4
LCM(27540,27544) = 758561760 / 4
LCM(27540,27544) = 189640440

Least Common Multiple (LCM) of 27540 and 27544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27540 and 27544. First we will calculate the prime factors of 27540 and 27544.

Prime Factorization of 27540

Prime Factorization of 27544

Now multiplying the highest exponent prime factors to calculate the LCM of 27540 and 27544.

LCM(27540,27544) = 2³ × 3⁴ × 5¹ × 17¹ × 11¹ × 313¹
LCM(27540,27544) = 189640440