What is the Least Common Multiple of 42318 and 42333?

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 42318 and 42333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42318 and 42333, than apply into the LCM equation.

GCF(42318,42333) = 3
LCM(42318,42333) = ( 42318 × 42333) / 3
LCM(42318,42333) = 1791447894 / 3
LCM(42318,42333) = 597149298

Least Common Multiple (LCM) of 42318 and 42333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42318 and 42333. First we will calculate the prime factors of 42318 and 42333.

Prime Factorization of 42318

Prime Factorization of 42333

Now multiplying the highest exponent prime factors to calculate the LCM of 42318 and 42333.

LCM(42318,42333) = 2¹ × 3² × 2351¹ × 103¹ × 137¹
LCM(42318,42333) = 597149298