What is the Least Common Multiple of 3105 and 3122?

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 3105 and 3122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3105 and 3122, than apply into the LCM equation.

GCF(3105,3122) = 1
LCM(3105,3122) = ( 3105 × 3122) / 1
LCM(3105,3122) = 9693810 / 1
LCM(3105,3122) = 9693810

Least Common Multiple (LCM) of 3105 and 3122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3105 and 3122. First we will calculate the prime factors of 3105 and 3122.

Prime Factorization of 3105

Prime Factorization of 3122

Now multiplying the highest exponent prime factors to calculate the LCM of 3105 and 3122.

LCM(3105,3122) = 3³ × 5¹ × 23¹ × 2¹ × 7¹ × 223¹
LCM(3105,3122) = 9693810