What is the Least Common Multiple of 15876 and 15880?

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 15876 and 15880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15876 and 15880, than apply into the LCM equation.

GCF(15876,15880) = 4
LCM(15876,15880) = ( 15876 × 15880) / 4
LCM(15876,15880) = 252110880 / 4
LCM(15876,15880) = 63027720

Least Common Multiple (LCM) of 15876 and 15880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15876 and 15880. First we will calculate the prime factors of 15876 and 15880.

Prime Factorization of 15876

Prime Factorization of 15880

Now multiplying the highest exponent prime factors to calculate the LCM of 15876 and 15880.

LCM(15876,15880) = 2³ × 3⁴ × 7² × 5¹ × 397¹
LCM(15876,15880) = 63027720