What is the Least Common Multiple of 43875 and 43882?

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 43875 and 43882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43875 and 43882, than apply into the LCM equation.

GCF(43875,43882) = 1
LCM(43875,43882) = ( 43875 × 43882) / 1
LCM(43875,43882) = 1925322750 / 1
LCM(43875,43882) = 1925322750

Least Common Multiple (LCM) of 43875 and 43882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43875 and 43882. First we will calculate the prime factors of 43875 and 43882.

Prime Factorization of 43875

Prime Factorization of 43882

Now multiplying the highest exponent prime factors to calculate the LCM of 43875 and 43882.

LCM(43875,43882) = 3³ × 5³ × 13¹ × 2¹ × 37¹ × 593¹
LCM(43875,43882) = 1925322750