What is the Least Common Multiple of 27914 and 27934?

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 27914 and 27934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27914 and 27934, than apply into the LCM equation.

GCF(27914,27934) = 2
LCM(27914,27934) = ( 27914 × 27934) / 2
LCM(27914,27934) = 779749676 / 2
LCM(27914,27934) = 389874838

Least Common Multiple (LCM) of 27914 and 27934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27914 and 27934. First we will calculate the prime factors of 27914 and 27934.

Prime Factorization of 27914

Prime Factorization of 27934

Now multiplying the highest exponent prime factors to calculate the LCM of 27914 and 27934.

LCM(27914,27934) = 2¹ × 17¹ × 821¹ × 13967¹
LCM(27914,27934) = 389874838