What is the Least Common Multiple of 13764 and 13784?

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 13764 and 13784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13764 and 13784, than apply into the LCM equation.

GCF(13764,13784) = 4
LCM(13764,13784) = ( 13764 × 13784) / 4
LCM(13764,13784) = 189722976 / 4
LCM(13764,13784) = 47430744

Least Common Multiple (LCM) of 13764 and 13784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13764 and 13784. First we will calculate the prime factors of 13764 and 13784.

Prime Factorization of 13764

Prime Factorization of 13784

Now multiplying the highest exponent prime factors to calculate the LCM of 13764 and 13784.

LCM(13764,13784) = 2³ × 3¹ × 31¹ × 37¹ × 1723¹
LCM(13764,13784) = 47430744