What is the Least Common Multiple of 27738 and 27752?

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 27752 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 27752, than apply into the LCM equation.

GCF(27738,27752) = 2
LCM(27738,27752) = ( 27738 × 27752) / 2
LCM(27738,27752) = 769784976 / 2
LCM(27738,27752) = 384892488

Least Common Multiple (LCM) of 27738 and 27752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27738 and 27752. First we will calculate the prime factors of 27738 and 27752.

Prime Factorization of 27738

Prime Factorization of 27752

Now multiplying the highest exponent prime factors to calculate the LCM of 27738 and 27752.

LCM(27738,27752) = 2³ × 3² × 23¹ × 67¹ × 3469¹
LCM(27738,27752) = 384892488