What is the Least Common Multiple of 14074 and 14081?

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 14074 and 14081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14074 and 14081, than apply into the LCM equation.

GCF(14074,14081) = 1
LCM(14074,14081) = ( 14074 × 14081) / 1
LCM(14074,14081) = 198175994 / 1
LCM(14074,14081) = 198175994

Least Common Multiple (LCM) of 14074 and 14081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14074 and 14081. First we will calculate the prime factors of 14074 and 14081.

Prime Factorization of 14074

Prime Factorization of 14081

Now multiplying the highest exponent prime factors to calculate the LCM of 14074 and 14081.

LCM(14074,14081) = 2¹ × 31¹ × 227¹ × 14081¹
LCM(14074,14081) = 198175994