What is the Least Common Multiple of 4338 and 4347?

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 4338 and 4347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4338 and 4347, than apply into the LCM equation.

GCF(4338,4347) = 9
LCM(4338,4347) = ( 4338 × 4347) / 9
LCM(4338,4347) = 18857286 / 9
LCM(4338,4347) = 2095254

Least Common Multiple (LCM) of 4338 and 4347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4338 and 4347. First we will calculate the prime factors of 4338 and 4347.

Prime Factorization of 4338

Prime Factorization of 4347

Now multiplying the highest exponent prime factors to calculate the LCM of 4338 and 4347.

LCM(4338,4347) = 2¹ × 3³ × 241¹ × 7¹ × 23¹
LCM(4338,4347) = 2095254