What is the Least Common Multiple of 43239 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 43239 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 43239 and 43256, than apply into the LCM equation.

GCF(43239,43256) = 1
LCM(43239,43256) = ( 43239 × 43256) / 1
LCM(43239,43256) = 1870346184 / 1
LCM(43239,43256) = 1870346184

Least Common Multiple (LCM) of 43239 and 43256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43239 and 43256. First we will calculate the prime factors of 43239 and 43256.

Prime Factorization of 43239

Prime Factorization of 43256

Now multiplying the highest exponent prime factors to calculate the LCM of 43239 and 43256.

LCM(43239,43256) = 3¹ × 7¹ × 29¹ × 71¹ × 2³ × 5407¹
LCM(43239,43256) = 1870346184