What is the Least Common Multiple of 14352 and 14364?

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 14352 and 14364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14352 and 14364, than apply into the LCM equation.

GCF(14352,14364) = 12
LCM(14352,14364) = ( 14352 × 14364) / 12
LCM(14352,14364) = 206152128 / 12
LCM(14352,14364) = 17179344

Least Common Multiple (LCM) of 14352 and 14364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14352 and 14364. First we will calculate the prime factors of 14352 and 14364.

Prime Factorization of 14352

Prime Factorization of 14364

Now multiplying the highest exponent prime factors to calculate the LCM of 14352 and 14364.

LCM(14352,14364) = 2⁴ × 3³ × 13¹ × 23¹ × 7¹ × 19¹
LCM(14352,14364) = 17179344