What is the Least Common Multiple of 15945 and 15949?

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 15949 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 15949, than apply into the LCM equation.

GCF(15945,15949) = 1
LCM(15945,15949) = ( 15945 × 15949) / 1
LCM(15945,15949) = 254306805 / 1
LCM(15945,15949) = 254306805

Least Common Multiple (LCM) of 15945 and 15949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15945 and 15949. First we will calculate the prime factors of 15945 and 15949.

Prime Factorization of 15945

Prime Factorization of 15949

Now multiplying the highest exponent prime factors to calculate the LCM of 15945 and 15949.

LCM(15945,15949) = 3¹ × 5¹ × 1063¹ × 41¹ × 389¹
LCM(15945,15949) = 254306805