What is the Least Common Multiple of 43382 and 43399?

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 43382 and 43399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43382 and 43399, than apply into the LCM equation.

GCF(43382,43399) = 1
LCM(43382,43399) = ( 43382 × 43399) / 1
LCM(43382,43399) = 1882735418 / 1
LCM(43382,43399) = 1882735418

Least Common Multiple (LCM) of 43382 and 43399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43382 and 43399. First we will calculate the prime factors of 43382 and 43399.

Prime Factorization of 43382

Prime Factorization of 43399

Now multiplying the highest exponent prime factors to calculate the LCM of 43382 and 43399.

LCM(43382,43399) = 2¹ × 109¹ × 199¹ × 43399¹
LCM(43382,43399) = 1882735418