What is the Least Common Multiple of 14156 and 14174?

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 14156 and 14174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14156 and 14174, than apply into the LCM equation.

GCF(14156,14174) = 2
LCM(14156,14174) = ( 14156 × 14174) / 2
LCM(14156,14174) = 200647144 / 2
LCM(14156,14174) = 100323572

Least Common Multiple (LCM) of 14156 and 14174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14156 and 14174. First we will calculate the prime factors of 14156 and 14174.

Prime Factorization of 14156

Prime Factorization of 14174

Now multiplying the highest exponent prime factors to calculate the LCM of 14156 and 14174.

LCM(14156,14174) = 2² × 3539¹ × 19¹ × 373¹
LCM(14156,14174) = 100323572