What is the Least Common Multiple of 4338 and 4352?

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 4352 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 4352, than apply into the LCM equation.

GCF(4338,4352) = 2
LCM(4338,4352) = ( 4338 × 4352) / 2
LCM(4338,4352) = 18878976 / 2
LCM(4338,4352) = 9439488

Least Common Multiple (LCM) of 4338 and 4352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4338 and 4352. First we will calculate the prime factors of 4338 and 4352.

Prime Factorization of 4338

Prime Factorization of 4352

Now multiplying the highest exponent prime factors to calculate the LCM of 4338 and 4352.

LCM(4338,4352) = 2⁸ × 3² × 241¹ × 17¹
LCM(4338,4352) = 9439488