What is the Least Common Multiple of 15855 and 15869?

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 15855 and 15869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15855 and 15869, than apply into the LCM equation.

GCF(15855,15869) = 7
LCM(15855,15869) = ( 15855 × 15869) / 7
LCM(15855,15869) = 251602995 / 7
LCM(15855,15869) = 35943285

Least Common Multiple (LCM) of 15855 and 15869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15855 and 15869. First we will calculate the prime factors of 15855 and 15869.

Prime Factorization of 15855

Prime Factorization of 15869

Now multiplying the highest exponent prime factors to calculate the LCM of 15855 and 15869.

LCM(15855,15869) = 3¹ × 5¹ × 7¹ × 151¹ × 2267¹
LCM(15855,15869) = 35943285