What is the Least Common Multiple of 42384 and 42389?

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 42384 and 42389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42384 and 42389, than apply into the LCM equation.

GCF(42384,42389) = 1
LCM(42384,42389) = ( 42384 × 42389) / 1
LCM(42384,42389) = 1796615376 / 1
LCM(42384,42389) = 1796615376

Least Common Multiple (LCM) of 42384 and 42389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42384 and 42389. First we will calculate the prime factors of 42384 and 42389.

Prime Factorization of 42384

Prime Factorization of 42389

Now multiplying the highest exponent prime factors to calculate the LCM of 42384 and 42389.

LCM(42384,42389) = 2⁴ × 3¹ × 883¹ × 19¹ × 23¹ × 97¹
LCM(42384,42389) = 1796615376