What is the Least Common Multiple of 27544 and 27562?

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 27544 and 27562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27544 and 27562, than apply into the LCM equation.

GCF(27544,27562) = 2
LCM(27544,27562) = ( 27544 × 27562) / 2
LCM(27544,27562) = 759167728 / 2
LCM(27544,27562) = 379583864

Least Common Multiple (LCM) of 27544 and 27562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27544 and 27562. First we will calculate the prime factors of 27544 and 27562.

Prime Factorization of 27544

Prime Factorization of 27562

Now multiplying the highest exponent prime factors to calculate the LCM of 27544 and 27562.

LCM(27544,27562) = 2³ × 11¹ × 313¹ × 13781¹
LCM(27544,27562) = 379583864