What is the Least Common Multiple of 15965 and 15973?

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 15973 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 15973, than apply into the LCM equation.

GCF(15965,15973) = 1
LCM(15965,15973) = ( 15965 × 15973) / 1
LCM(15965,15973) = 255008945 / 1
LCM(15965,15973) = 255008945

Least Common Multiple (LCM) of 15965 and 15973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15965 and 15973. First we will calculate the prime factors of 15965 and 15973.

Prime Factorization of 15965

Prime Factorization of 15973

Now multiplying the highest exponent prime factors to calculate the LCM of 15965 and 15973.

LCM(15965,15973) = 5¹ × 31¹ × 103¹ × 15973¹
LCM(15965,15973) = 255008945