What is the Least Common Multiple of 15965 and 15975?

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 15965 and 15975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15965 and 15975, than apply into the LCM equation.

GCF(15965,15975) = 5
LCM(15965,15975) = ( 15965 × 15975) / 5
LCM(15965,15975) = 255040875 / 5
LCM(15965,15975) = 51008175

Least Common Multiple (LCM) of 15965 and 15975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15965 and 15975. First we will calculate the prime factors of 15965 and 15975.

Prime Factorization of 15965

Prime Factorization of 15975

Now multiplying the highest exponent prime factors to calculate the LCM of 15965 and 15975.

LCM(15965,15975) = 5² × 31¹ × 103¹ × 3² × 71¹
LCM(15965,15975) = 51008175