What is the Least Common Multiple of 15872 and 15884?

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 15872 and 15884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15872 and 15884, than apply into the LCM equation.

GCF(15872,15884) = 4
LCM(15872,15884) = ( 15872 × 15884) / 4
LCM(15872,15884) = 252110848 / 4
LCM(15872,15884) = 63027712

Least Common Multiple (LCM) of 15872 and 15884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15872 and 15884. First we will calculate the prime factors of 15872 and 15884.

Prime Factorization of 15872

Prime Factorization of 15884

Now multiplying the highest exponent prime factors to calculate the LCM of 15872 and 15884.

LCM(15872,15884) = 2⁹ × 31¹ × 11¹ × 19²
LCM(15872,15884) = 63027712