What is the Least Common Multiple of 42342 and 42360?

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 42342 and 42360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42342 and 42360, than apply into the LCM equation.

GCF(42342,42360) = 6
LCM(42342,42360) = ( 42342 × 42360) / 6
LCM(42342,42360) = 1793607120 / 6
LCM(42342,42360) = 298934520

Least Common Multiple (LCM) of 42342 and 42360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42342 and 42360. First we will calculate the prime factors of 42342 and 42360.

Prime Factorization of 42342

Prime Factorization of 42360

Now multiplying the highest exponent prime factors to calculate the LCM of 42342 and 42360.

LCM(42342,42360) = 2³ × 3¹ × 7057¹ × 5¹ × 353¹
LCM(42342,42360) = 298934520