What is the Least Common Multiple of 27654 and 27672?

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 27672 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 27672, than apply into the LCM equation.

GCF(27654,27672) = 6
LCM(27654,27672) = ( 27654 × 27672) / 6
LCM(27654,27672) = 765241488 / 6
LCM(27654,27672) = 127540248

Least Common Multiple (LCM) of 27654 and 27672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27654 and 27672. First we will calculate the prime factors of 27654 and 27672.

Prime Factorization of 27654

Prime Factorization of 27672

Now multiplying the highest exponent prime factors to calculate the LCM of 27654 and 27672.

LCM(27654,27672) = 2³ × 3¹ × 11¹ × 419¹ × 1153¹
LCM(27654,27672) = 127540248