What is the Least Common Multiple of 43381 and 43396?

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 43381 and 43396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43381 and 43396, than apply into the LCM equation.

GCF(43381,43396) = 1
LCM(43381,43396) = ( 43381 × 43396) / 1
LCM(43381,43396) = 1882561876 / 1
LCM(43381,43396) = 1882561876

Least Common Multiple (LCM) of 43381 and 43396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43381 and 43396. First we will calculate the prime factors of 43381 and 43396.

Prime Factorization of 43381

Prime Factorization of 43396

Now multiplying the highest exponent prime factors to calculate the LCM of 43381 and 43396.

LCM(43381,43396) = 13¹ × 47¹ × 71¹ × 2² × 19¹ × 571¹
LCM(43381,43396) = 1882561876