What is the Least Common Multiple of 43848 and 43865?

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 43848 and 43865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43848 and 43865, than apply into the LCM equation.

GCF(43848,43865) = 1
LCM(43848,43865) = ( 43848 × 43865) / 1
LCM(43848,43865) = 1923392520 / 1
LCM(43848,43865) = 1923392520

Least Common Multiple (LCM) of 43848 and 43865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43848 and 43865. First we will calculate the prime factors of 43848 and 43865.

Prime Factorization of 43848

Prime Factorization of 43865

Now multiplying the highest exponent prime factors to calculate the LCM of 43848 and 43865.

LCM(43848,43865) = 2³ × 3³ × 7¹ × 29¹ × 5¹ × 31¹ × 283¹
LCM(43848,43865) = 1923392520