What is the Least Common Multiple of 3165 and 3178?

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 3165 and 3178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3165 and 3178, than apply into the LCM equation.

GCF(3165,3178) = 1
LCM(3165,3178) = ( 3165 × 3178) / 1
LCM(3165,3178) = 10058370 / 1
LCM(3165,3178) = 10058370

Least Common Multiple (LCM) of 3165 and 3178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3165 and 3178. First we will calculate the prime factors of 3165 and 3178.

Prime Factorization of 3165

Prime Factorization of 3178

Now multiplying the highest exponent prime factors to calculate the LCM of 3165 and 3178.

LCM(3165,3178) = 3¹ × 5¹ × 211¹ × 2¹ × 7¹ × 227¹
LCM(3165,3178) = 10058370