What is the Least Common Multiple of 15912 and 15929?

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 15912 and 15929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15912 and 15929, than apply into the LCM equation.

GCF(15912,15929) = 17
LCM(15912,15929) = ( 15912 × 15929) / 17
LCM(15912,15929) = 253462248 / 17
LCM(15912,15929) = 14909544

Least Common Multiple (LCM) of 15912 and 15929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15912 and 15929. First we will calculate the prime factors of 15912 and 15929.

Prime Factorization of 15912

Prime Factorization of 15929

Now multiplying the highest exponent prime factors to calculate the LCM of 15912 and 15929.

LCM(15912,15929) = 2³ × 3² × 13¹ × 17¹ × 937¹
LCM(15912,15929) = 14909544