What is the Least Common Multiple of 43875 and 43890?

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 43890 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 43890, than apply into the LCM equation.

GCF(43875,43890) = 15
LCM(43875,43890) = ( 43875 × 43890) / 15
LCM(43875,43890) = 1925673750 / 15
LCM(43875,43890) = 128378250

Least Common Multiple (LCM) of 43875 and 43890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43875 and 43890. First we will calculate the prime factors of 43875 and 43890.

Prime Factorization of 43875

Prime Factorization of 43890

Now multiplying the highest exponent prime factors to calculate the LCM of 43875 and 43890.

LCM(43875,43890) = 3³ × 5³ × 13¹ × 2¹ × 7¹ × 11¹ × 19¹
LCM(43875,43890) = 128378250