What is the Least Common Multiple of 14174 and 14192?

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 14174 and 14192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14174 and 14192, than apply into the LCM equation.

GCF(14174,14192) = 2
LCM(14174,14192) = ( 14174 × 14192) / 2
LCM(14174,14192) = 201157408 / 2
LCM(14174,14192) = 100578704

Least Common Multiple (LCM) of 14174 and 14192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14174 and 14192. First we will calculate the prime factors of 14174 and 14192.

Prime Factorization of 14174

Prime Factorization of 14192

Now multiplying the highest exponent prime factors to calculate the LCM of 14174 and 14192.

LCM(14174,14192) = 2⁴ × 19¹ × 373¹ × 887¹
LCM(14174,14192) = 100578704