What is the Least Common Multiple of 27647 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 27647 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 27647 and 27654, than apply into the LCM equation.

GCF(27647,27654) = 1
LCM(27647,27654) = ( 27647 × 27654) / 1
LCM(27647,27654) = 764550138 / 1
LCM(27647,27654) = 764550138

Least Common Multiple (LCM) of 27647 and 27654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27647 and 27654. First we will calculate the prime factors of 27647 and 27654.

Prime Factorization of 27647

Prime Factorization of 27654

Now multiplying the highest exponent prime factors to calculate the LCM of 27647 and 27654.

LCM(27647,27654) = 27647¹ × 2¹ × 3¹ × 11¹ × 419¹
LCM(27647,27654) = 764550138