What is the Least Common Multiple of 43355 and 43375?

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 43355 and 43375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43355 and 43375, than apply into the LCM equation.

GCF(43355,43375) = 5
LCM(43355,43375) = ( 43355 × 43375) / 5
LCM(43355,43375) = 1880523125 / 5
LCM(43355,43375) = 376104625

Least Common Multiple (LCM) of 43355 and 43375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43355 and 43375. First we will calculate the prime factors of 43355 and 43375.

Prime Factorization of 43355

Prime Factorization of 43375

Now multiplying the highest exponent prime factors to calculate the LCM of 43355 and 43375.

LCM(43355,43375) = 5³ × 13¹ × 23¹ × 29¹ × 347¹
LCM(43355,43375) = 376104625