What is the Least Common Multiple of 27678 and 27691?

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 27678 and 27691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27678 and 27691, than apply into the LCM equation.

GCF(27678,27691) = 1
LCM(27678,27691) = ( 27678 × 27691) / 1
LCM(27678,27691) = 766431498 / 1
LCM(27678,27691) = 766431498

Least Common Multiple (LCM) of 27678 and 27691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27678 and 27691. First we will calculate the prime factors of 27678 and 27691.

Prime Factorization of 27678

Prime Factorization of 27691

Now multiplying the highest exponent prime factors to calculate the LCM of 27678 and 27691.

LCM(27678,27691) = 2¹ × 3¹ × 7¹ × 659¹ × 27691¹
LCM(27678,27691) = 766431498