What is the Least Common Multiple of 14256 and 14262?

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 14256 and 14262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14256 and 14262, than apply into the LCM equation.

GCF(14256,14262) = 6
LCM(14256,14262) = ( 14256 × 14262) / 6
LCM(14256,14262) = 203319072 / 6
LCM(14256,14262) = 33886512

Least Common Multiple (LCM) of 14256 and 14262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14256 and 14262. First we will calculate the prime factors of 14256 and 14262.

Prime Factorization of 14256

Prime Factorization of 14262

Now multiplying the highest exponent prime factors to calculate the LCM of 14256 and 14262.

LCM(14256,14262) = 2⁴ × 3⁴ × 11¹ × 2377¹
LCM(14256,14262) = 33886512