What is the Least Common Multiple of 14345 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 14345 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 14345 and 14364, than apply into the LCM equation.

GCF(14345,14364) = 19
LCM(14345,14364) = ( 14345 × 14364) / 19
LCM(14345,14364) = 206051580 / 19
LCM(14345,14364) = 10844820

Least Common Multiple (LCM) of 14345 and 14364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14345 and 14364. First we will calculate the prime factors of 14345 and 14364.

Prime Factorization of 14345

Prime Factorization of 14364

Now multiplying the highest exponent prime factors to calculate the LCM of 14345 and 14364.

LCM(14345,14364) = 5¹ × 19¹ × 151¹ × 2² × 3³ × 7¹
LCM(14345,14364) = 10844820