What is the Least Common Multiple of 3104 and 3115?

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 3104 and 3115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3104 and 3115, than apply into the LCM equation.

GCF(3104,3115) = 1
LCM(3104,3115) = ( 3104 × 3115) / 1
LCM(3104,3115) = 9668960 / 1
LCM(3104,3115) = 9668960

Least Common Multiple (LCM) of 3104 and 3115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3104 and 3115. First we will calculate the prime factors of 3104 and 3115.

Prime Factorization of 3104

Prime Factorization of 3115

Now multiplying the highest exponent prime factors to calculate the LCM of 3104 and 3115.

LCM(3104,3115) = 2⁵ × 97¹ × 5¹ × 7¹ × 89¹
LCM(3104,3115) = 9668960