What is the Least Common Multiple of 43250 and 43256?

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 43250 and 43256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43250 and 43256, than apply into the LCM equation.

GCF(43250,43256) = 2
LCM(43250,43256) = ( 43250 × 43256) / 2
LCM(43250,43256) = 1870822000 / 2
LCM(43250,43256) = 935411000

Least Common Multiple (LCM) of 43250 and 43256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43250 and 43256. First we will calculate the prime factors of 43250 and 43256.

Prime Factorization of 43250

Prime Factorization of 43256

Now multiplying the highest exponent prime factors to calculate the LCM of 43250 and 43256.

LCM(43250,43256) = 2³ × 5³ × 173¹ × 5407¹
LCM(43250,43256) = 935411000