What is the Least Common Multiple of 43764 and 43784?

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 43764 and 43784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43764 and 43784, than apply into the LCM equation.

GCF(43764,43784) = 4
LCM(43764,43784) = ( 43764 × 43784) / 4
LCM(43764,43784) = 1916162976 / 4
LCM(43764,43784) = 479040744

Least Common Multiple (LCM) of 43764 and 43784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43764 and 43784. First we will calculate the prime factors of 43764 and 43784.

Prime Factorization of 43764

Prime Factorization of 43784

Now multiplying the highest exponent prime factors to calculate the LCM of 43764 and 43784.

LCM(43764,43784) = 2³ × 3¹ × 7¹ × 521¹ × 13¹ × 421¹
LCM(43764,43784) = 479040744