What is the Least Common Multiple of 42078 and 42093?

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 42078 and 42093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42078 and 42093, than apply into the LCM equation.

GCF(42078,42093) = 3
LCM(42078,42093) = ( 42078 × 42093) / 3
LCM(42078,42093) = 1771189254 / 3
LCM(42078,42093) = 590396418

Least Common Multiple (LCM) of 42078 and 42093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42078 and 42093. First we will calculate the prime factors of 42078 and 42093.

Prime Factorization of 42078

Prime Factorization of 42093

Now multiplying the highest exponent prime factors to calculate the LCM of 42078 and 42093.

LCM(42078,42093) = 2¹ × 3³ × 7013¹ × 1559¹
LCM(42078,42093) = 590396418