What is the Least Common Multiple of 14398 and 14402?

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 14398 and 14402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14398 and 14402, than apply into the LCM equation.

GCF(14398,14402) = 2
LCM(14398,14402) = ( 14398 × 14402) / 2
LCM(14398,14402) = 207359996 / 2
LCM(14398,14402) = 103679998

Least Common Multiple (LCM) of 14398 and 14402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14398 and 14402. First we will calculate the prime factors of 14398 and 14402.

Prime Factorization of 14398

Prime Factorization of 14402

Now multiplying the highest exponent prime factors to calculate the LCM of 14398 and 14402.

LCM(14398,14402) = 2¹ × 23¹ × 313¹ × 19¹ × 379¹
LCM(14398,14402) = 103679998