What is the Least Common Multiple of 42054 and 42069?

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 42054 and 42069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42054 and 42069, than apply into the LCM equation.

GCF(42054,42069) = 3
LCM(42054,42069) = ( 42054 × 42069) / 3
LCM(42054,42069) = 1769169726 / 3
LCM(42054,42069) = 589723242

Least Common Multiple (LCM) of 42054 and 42069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42054 and 42069. First we will calculate the prime factors of 42054 and 42069.

Prime Factorization of 42054

Prime Factorization of 42069

Now multiplying the highest exponent prime factors to calculate the LCM of 42054 and 42069.

LCM(42054,42069) = 2¹ × 3¹ × 43¹ × 163¹ × 37¹ × 379¹
LCM(42054,42069) = 589723242