What is the Least Common Multiple of 27654 and 27666?

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 27654 and 27666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27654 and 27666, than apply into the LCM equation.

GCF(27654,27666) = 6
LCM(27654,27666) = ( 27654 × 27666) / 6
LCM(27654,27666) = 765075564 / 6
LCM(27654,27666) = 127512594

Least Common Multiple (LCM) of 27654 and 27666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27654 and 27666. First we will calculate the prime factors of 27654 and 27666.

Prime Factorization of 27654

Prime Factorization of 27666

Now multiplying the highest exponent prime factors to calculate the LCM of 27654 and 27666.

LCM(27654,27666) = 2¹ × 3² × 11¹ × 419¹ × 29¹ × 53¹
LCM(27654,27666) = 127512594