What is the Least Common Multiple of 10478 and 10498?

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 10478 and 10498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10478 and 10498, than apply into the LCM equation.

GCF(10478,10498) = 2
LCM(10478,10498) = ( 10478 × 10498) / 2
LCM(10478,10498) = 109998044 / 2
LCM(10478,10498) = 54999022

Least Common Multiple (LCM) of 10478 and 10498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10478 and 10498. First we will calculate the prime factors of 10478 and 10498.

Prime Factorization of 10478

Prime Factorization of 10498

Now multiplying the highest exponent prime factors to calculate the LCM of 10478 and 10498.

LCM(10478,10498) = 2¹ × 13² × 31¹ × 29¹ × 181¹
LCM(10478,10498) = 54999022