What is the Least Common Multiple of 14198 and 14207?

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 14198 and 14207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14198 and 14207, than apply into the LCM equation.

GCF(14198,14207) = 1
LCM(14198,14207) = ( 14198 × 14207) / 1
LCM(14198,14207) = 201710986 / 1
LCM(14198,14207) = 201710986

Least Common Multiple (LCM) of 14198 and 14207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14198 and 14207. First we will calculate the prime factors of 14198 and 14207.

Prime Factorization of 14198

Prime Factorization of 14207

Now multiplying the highest exponent prime factors to calculate the LCM of 14198 and 14207.

LCM(14198,14207) = 2¹ × 31¹ × 229¹ × 14207¹
LCM(14198,14207) = 201710986