What is the Least Common Multiple of 15814 and 15824?

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 15814 and 15824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15814 and 15824, than apply into the LCM equation.

GCF(15814,15824) = 2
LCM(15814,15824) = ( 15814 × 15824) / 2
LCM(15814,15824) = 250240736 / 2
LCM(15814,15824) = 125120368

Least Common Multiple (LCM) of 15814 and 15824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15814 and 15824. First we will calculate the prime factors of 15814 and 15824.

Prime Factorization of 15814

Prime Factorization of 15824

Now multiplying the highest exponent prime factors to calculate the LCM of 15814 and 15824.

LCM(15814,15824) = 2⁴ × 7907¹ × 23¹ × 43¹
LCM(15814,15824) = 125120368