What is the Least Common Multiple of 15806 and 15813?

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 15806 and 15813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15806 and 15813, than apply into the LCM equation.

GCF(15806,15813) = 7
LCM(15806,15813) = ( 15806 × 15813) / 7
LCM(15806,15813) = 249940278 / 7
LCM(15806,15813) = 35705754

Least Common Multiple (LCM) of 15806 and 15813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15806 and 15813. First we will calculate the prime factors of 15806 and 15813.

Prime Factorization of 15806

Prime Factorization of 15813

Now multiplying the highest exponent prime factors to calculate the LCM of 15806 and 15813.

LCM(15806,15813) = 2¹ × 7¹ × 1129¹ × 3² × 251¹
LCM(15806,15813) = 35705754