What is the Least Common Multiple of 27648 and 27655?

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 27648 and 27655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27648 and 27655, than apply into the LCM equation.

GCF(27648,27655) = 1
LCM(27648,27655) = ( 27648 × 27655) / 1
LCM(27648,27655) = 764605440 / 1
LCM(27648,27655) = 764605440

Least Common Multiple (LCM) of 27648 and 27655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27648 and 27655. First we will calculate the prime factors of 27648 and 27655.

Prime Factorization of 27648

Prime Factorization of 27655

Now multiplying the highest exponent prime factors to calculate the LCM of 27648 and 27655.

LCM(27648,27655) = 2¹⁰ × 3³ × 5¹ × 5531¹
LCM(27648,27655) = 764605440