What is the Least Common Multiple of 42042 and 42057?

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 42042 and 42057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42042 and 42057, than apply into the LCM equation.

GCF(42042,42057) = 3
LCM(42042,42057) = ( 42042 × 42057) / 3
LCM(42042,42057) = 1768160394 / 3
LCM(42042,42057) = 589386798

Least Common Multiple (LCM) of 42042 and 42057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42042 and 42057. First we will calculate the prime factors of 42042 and 42057.

Prime Factorization of 42042

Prime Factorization of 42057

Now multiplying the highest exponent prime factors to calculate the LCM of 42042 and 42057.

LCM(42042,42057) = 2¹ × 3² × 7² × 11¹ × 13¹ × 4673¹
LCM(42042,42057) = 589386798