What is the Least Common Multiple of 4338 and 4344?

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 4344 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 4344, than apply into the LCM equation.

GCF(4338,4344) = 6
LCM(4338,4344) = ( 4338 × 4344) / 6
LCM(4338,4344) = 18844272 / 6
LCM(4338,4344) = 3140712

Least Common Multiple (LCM) of 4338 and 4344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4338 and 4344. First we will calculate the prime factors of 4338 and 4344.

Prime Factorization of 4338

Prime Factorization of 4344

Now multiplying the highest exponent prime factors to calculate the LCM of 4338 and 4344.

LCM(4338,4344) = 2³ × 3² × 241¹ × 181¹
LCM(4338,4344) = 3140712