What is the Least Common Multiple of 43865 and 43880?

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 43865 and 43880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43865 and 43880, than apply into the LCM equation.

GCF(43865,43880) = 5
LCM(43865,43880) = ( 43865 × 43880) / 5
LCM(43865,43880) = 1924796200 / 5
LCM(43865,43880) = 384959240

Least Common Multiple (LCM) of 43865 and 43880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43865 and 43880. First we will calculate the prime factors of 43865 and 43880.

Prime Factorization of 43865

Prime Factorization of 43880

Now multiplying the highest exponent prime factors to calculate the LCM of 43865 and 43880.

LCM(43865,43880) = 5¹ × 31¹ × 283¹ × 2³ × 1097¹
LCM(43865,43880) = 384959240