What is the Least Common Multiple of 43860 and 43875?

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 43860 and 43875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43860 and 43875, than apply into the LCM equation.

GCF(43860,43875) = 15
LCM(43860,43875) = ( 43860 × 43875) / 15
LCM(43860,43875) = 1924357500 / 15
LCM(43860,43875) = 128290500

Least Common Multiple (LCM) of 43860 and 43875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43860 and 43875. First we will calculate the prime factors of 43860 and 43875.

Prime Factorization of 43860

Prime Factorization of 43875

Now multiplying the highest exponent prime factors to calculate the LCM of 43860 and 43875.

LCM(43860,43875) = 2² × 3³ × 5³ × 17¹ × 43¹ × 13¹
LCM(43860,43875) = 128290500