What is the Least Common Multiple of 15840 and 15852?

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 15840 and 15852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15840 and 15852, than apply into the LCM equation.

GCF(15840,15852) = 12
LCM(15840,15852) = ( 15840 × 15852) / 12
LCM(15840,15852) = 251095680 / 12
LCM(15840,15852) = 20924640

Least Common Multiple (LCM) of 15840 and 15852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15840 and 15852. First we will calculate the prime factors of 15840 and 15852.

Prime Factorization of 15840

Prime Factorization of 15852

Now multiplying the highest exponent prime factors to calculate the LCM of 15840 and 15852.

LCM(15840,15852) = 2⁵ × 3² × 5¹ × 11¹ × 1321¹
LCM(15840,15852) = 20924640