What is the Least Common Multiple of 15840 and 15855?

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 15855 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 15855, than apply into the LCM equation.

GCF(15840,15855) = 15
LCM(15840,15855) = ( 15840 × 15855) / 15
LCM(15840,15855) = 251143200 / 15
LCM(15840,15855) = 16742880

Least Common Multiple (LCM) of 15840 and 15855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15840 and 15855. First we will calculate the prime factors of 15840 and 15855.

Prime Factorization of 15840

Prime Factorization of 15855

Now multiplying the highest exponent prime factors to calculate the LCM of 15840 and 15855.

LCM(15840,15855) = 2⁵ × 3² × 5¹ × 11¹ × 7¹ × 151¹
LCM(15840,15855) = 16742880