What is the Least Common Multiple of 74239 and 74256?

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 74239 and 74256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74239 and 74256, than apply into the LCM equation.

GCF(74239,74256) = 17
LCM(74239,74256) = ( 74239 × 74256) / 17
LCM(74239,74256) = 5512691184 / 17
LCM(74239,74256) = 324275952

Least Common Multiple (LCM) of 74239 and 74256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74239 and 74256. First we will calculate the prime factors of 74239 and 74256.

Prime Factorization of 74239

Prime Factorization of 74256

Now multiplying the highest exponent prime factors to calculate the LCM of 74239 and 74256.

LCM(74239,74256) = 11¹ × 17¹ × 397¹ × 2⁴ × 3¹ × 7¹ × 13¹
LCM(74239,74256) = 324275952