What is the Least Common Multiple of 10478 and 10490?

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 10490 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 10490, than apply into the LCM equation.

GCF(10478,10490) = 2
LCM(10478,10490) = ( 10478 × 10490) / 2
LCM(10478,10490) = 109914220 / 2
LCM(10478,10490) = 54957110

Least Common Multiple (LCM) of 10478 and 10490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10478 and 10490. First we will calculate the prime factors of 10478 and 10490.

Prime Factorization of 10478

Prime Factorization of 10490

Now multiplying the highest exponent prime factors to calculate the LCM of 10478 and 10490.

LCM(10478,10490) = 2¹ × 13² × 31¹ × 5¹ × 1049¹
LCM(10478,10490) = 54957110