What is the Least Common Multiple of 42269 and 42284?

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 42269 and 42284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42269 and 42284, than apply into the LCM equation.

GCF(42269,42284) = 1
LCM(42269,42284) = ( 42269 × 42284) / 1
LCM(42269,42284) = 1787302396 / 1
LCM(42269,42284) = 1787302396

Least Common Multiple (LCM) of 42269 and 42284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42269 and 42284. First we will calculate the prime factors of 42269 and 42284.

Prime Factorization of 42269

Prime Factorization of 42284

Now multiplying the highest exponent prime factors to calculate the LCM of 42269 and 42284.

LCM(42269,42284) = 43¹ × 983¹ × 2² × 11¹ × 31²
LCM(42269,42284) = 1787302396