What is the Least Common Multiple of 15909 and 15924?

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 15909 and 15924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15909 and 15924, than apply into the LCM equation.

GCF(15909,15924) = 3
LCM(15909,15924) = ( 15909 × 15924) / 3
LCM(15909,15924) = 253334916 / 3
LCM(15909,15924) = 84444972

Least Common Multiple (LCM) of 15909 and 15924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15909 and 15924. First we will calculate the prime factors of 15909 and 15924.

Prime Factorization of 15909

Prime Factorization of 15924

Now multiplying the highest exponent prime factors to calculate the LCM of 15909 and 15924.

LCM(15909,15924) = 3¹ × 5303¹ × 2² × 1327¹
LCM(15909,15924) = 84444972