What is the Least Common Multiple of 15945 and 15950?

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 15945 and 15950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15945 and 15950, than apply into the LCM equation.

GCF(15945,15950) = 5
LCM(15945,15950) = ( 15945 × 15950) / 5
LCM(15945,15950) = 254322750 / 5
LCM(15945,15950) = 50864550

Least Common Multiple (LCM) of 15945 and 15950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15945 and 15950. First we will calculate the prime factors of 15945 and 15950.

Prime Factorization of 15945

Prime Factorization of 15950

Now multiplying the highest exponent prime factors to calculate the LCM of 15945 and 15950.

LCM(15945,15950) = 3¹ × 5² × 1063¹ × 2¹ × 11¹ × 29¹
LCM(15945,15950) = 50864550