What is the Least Common Multiple of 6165 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 6165 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 6165 and 6174, than apply into the LCM equation.

GCF(6165,6174) = 9
LCM(6165,6174) = ( 6165 × 6174) / 9
LCM(6165,6174) = 38062710 / 9
LCM(6165,6174) = 4229190

Least Common Multiple (LCM) of 6165 and 6174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6165 and 6174. First we will calculate the prime factors of 6165 and 6174.

Prime Factorization of 6165

Prime Factorization of 6174

Now multiplying the highest exponent prime factors to calculate the LCM of 6165 and 6174.

LCM(6165,6174) = 3² × 5¹ × 137¹ × 2¹ × 7³
LCM(6165,6174) = 4229190