What is the Least Common Multiple of 6166 and 6174?

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 6166 and 6174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6166 and 6174, than apply into the LCM equation.

GCF(6166,6174) = 2
LCM(6166,6174) = ( 6166 × 6174) / 2
LCM(6166,6174) = 38068884 / 2
LCM(6166,6174) = 19034442

Least Common Multiple (LCM) of 6166 and 6174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6166 and 6174. First we will calculate the prime factors of 6166 and 6174.

Prime Factorization of 6166

Prime Factorization of 6174

Now multiplying the highest exponent prime factors to calculate the LCM of 6166 and 6174.

LCM(6166,6174) = 2¹ × 3083¹ × 3² × 7³
LCM(6166,6174) = 19034442