What is the Least Common Multiple of 10814 and 10826?

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 10814 and 10826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10814 and 10826, than apply into the LCM equation.

GCF(10814,10826) = 2
LCM(10814,10826) = ( 10814 × 10826) / 2
LCM(10814,10826) = 117072364 / 2
LCM(10814,10826) = 58536182

Least Common Multiple (LCM) of 10814 and 10826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10814 and 10826. First we will calculate the prime factors of 10814 and 10826.

Prime Factorization of 10814

Prime Factorization of 10826

Now multiplying the highest exponent prime factors to calculate the LCM of 10814 and 10826.

LCM(10814,10826) = 2¹ × 5407¹ × 5413¹
LCM(10814,10826) = 58536182