What is the Least Common Multiple of 27648 and 27654?

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 27654 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 27654, than apply into the LCM equation.

GCF(27648,27654) = 6
LCM(27648,27654) = ( 27648 × 27654) / 6
LCM(27648,27654) = 764577792 / 6
LCM(27648,27654) = 127429632

Least Common Multiple (LCM) of 27648 and 27654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27648 and 27654. First we will calculate the prime factors of 27648 and 27654.

Prime Factorization of 27648

Prime Factorization of 27654

Now multiplying the highest exponent prime factors to calculate the LCM of 27648 and 27654.

LCM(27648,27654) = 2¹⁰ × 3³ × 11¹ × 419¹
LCM(27648,27654) = 127429632