What is the Least Common Multiple of 43380 and 43389?

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 43380 and 43389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43380 and 43389, than apply into the LCM equation.

GCF(43380,43389) = 9
LCM(43380,43389) = ( 43380 × 43389) / 9
LCM(43380,43389) = 1882214820 / 9
LCM(43380,43389) = 209134980

Least Common Multiple (LCM) of 43380 and 43389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43380 and 43389. First we will calculate the prime factors of 43380 and 43389.

Prime Factorization of 43380

Prime Factorization of 43389

Now multiplying the highest exponent prime factors to calculate the LCM of 43380 and 43389.

LCM(43380,43389) = 2² × 3³ × 5¹ × 241¹ × 1607¹
LCM(43380,43389) = 209134980