What is the Least Common Multiple of 27400 and 27404?

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 27400 and 27404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27400 and 27404, than apply into the LCM equation.

GCF(27400,27404) = 4
LCM(27400,27404) = ( 27400 × 27404) / 4
LCM(27400,27404) = 750869600 / 4
LCM(27400,27404) = 187717400

Least Common Multiple (LCM) of 27400 and 27404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27400 and 27404. First we will calculate the prime factors of 27400 and 27404.

Prime Factorization of 27400

Prime Factorization of 27404

Now multiplying the highest exponent prime factors to calculate the LCM of 27400 and 27404.

LCM(27400,27404) = 2³ × 5² × 137¹ × 13¹ × 17¹ × 31¹
LCM(27400,27404) = 187717400