What is the Least Common Multiple of 43125 and 43144?

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 43125 and 43144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43125 and 43144, than apply into the LCM equation.

GCF(43125,43144) = 1
LCM(43125,43144) = ( 43125 × 43144) / 1
LCM(43125,43144) = 1860585000 / 1
LCM(43125,43144) = 1860585000

Least Common Multiple (LCM) of 43125 and 43144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43125 and 43144. First we will calculate the prime factors of 43125 and 43144.

Prime Factorization of 43125

Prime Factorization of 43144

Now multiplying the highest exponent prime factors to calculate the LCM of 43125 and 43144.

LCM(43125,43144) = 3¹ × 5⁴ × 23¹ × 2³ × 5393¹
LCM(43125,43144) = 1860585000