What is the Least Common Multiple of 4321 and 4338?

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 4321 and 4338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4321 and 4338, than apply into the LCM equation.

GCF(4321,4338) = 1
LCM(4321,4338) = ( 4321 × 4338) / 1
LCM(4321,4338) = 18744498 / 1
LCM(4321,4338) = 18744498

Least Common Multiple (LCM) of 4321 and 4338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4321 and 4338. First we will calculate the prime factors of 4321 and 4338.

Prime Factorization of 4321

Prime Factorization of 4338

Now multiplying the highest exponent prime factors to calculate the LCM of 4321 and 4338.

LCM(4321,4338) = 29¹ × 149¹ × 2¹ × 3² × 241¹
LCM(4321,4338) = 18744498