What is the Least Common Multiple of 27738 and 27756?

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 27738 and 27756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27738 and 27756, than apply into the LCM equation.

GCF(27738,27756) = 18
LCM(27738,27756) = ( 27738 × 27756) / 18
LCM(27738,27756) = 769895928 / 18
LCM(27738,27756) = 42771996

Least Common Multiple (LCM) of 27738 and 27756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27738 and 27756. First we will calculate the prime factors of 27738 and 27756.

Prime Factorization of 27738

Prime Factorization of 27756

Now multiplying the highest exponent prime factors to calculate the LCM of 27738 and 27756.

LCM(27738,27756) = 2² × 3³ × 23¹ × 67¹ × 257¹
LCM(27738,27756) = 42771996