What is the Least Common Multiple of 15854 and 15862?

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 15854 and 15862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15854 and 15862, than apply into the LCM equation.

GCF(15854,15862) = 2
LCM(15854,15862) = ( 15854 × 15862) / 2
LCM(15854,15862) = 251476148 / 2
LCM(15854,15862) = 125738074

Least Common Multiple (LCM) of 15854 and 15862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15854 and 15862. First we will calculate the prime factors of 15854 and 15862.

Prime Factorization of 15854

Prime Factorization of 15862

Now multiplying the highest exponent prime factors to calculate the LCM of 15854 and 15862.

LCM(15854,15862) = 2¹ × 7927¹ × 7¹ × 11¹ × 103¹
LCM(15854,15862) = 125738074