What is the Least Common Multiple of 42312 and 42329?

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 42312 and 42329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42312 and 42329, than apply into the LCM equation.

GCF(42312,42329) = 1
LCM(42312,42329) = ( 42312 × 42329) / 1
LCM(42312,42329) = 1791024648 / 1
LCM(42312,42329) = 1791024648

Least Common Multiple (LCM) of 42312 and 42329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42312 and 42329. First we will calculate the prime factors of 42312 and 42329.

Prime Factorization of 42312

Prime Factorization of 42329

Now multiplying the highest exponent prime factors to calculate the LCM of 42312 and 42329.

LCM(42312,42329) = 2³ × 3¹ × 41¹ × 43¹ × 7¹ × 6047¹
LCM(42312,42329) = 1791024648