What is the Least Common Multiple of 27324 and 27340?

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 27324 and 27340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27324 and 27340, than apply into the LCM equation.

GCF(27324,27340) = 4
LCM(27324,27340) = ( 27324 × 27340) / 4
LCM(27324,27340) = 747038160 / 4
LCM(27324,27340) = 186759540

Least Common Multiple (LCM) of 27324 and 27340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27324 and 27340. First we will calculate the prime factors of 27324 and 27340.

Prime Factorization of 27324

Prime Factorization of 27340

Now multiplying the highest exponent prime factors to calculate the LCM of 27324 and 27340.

LCM(27324,27340) = 2² × 3³ × 11¹ × 23¹ × 5¹ × 1367¹
LCM(27324,27340) = 186759540