What is the Least Common Multiple of 10489 and 10493?

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 10489 and 10493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10489 and 10493, than apply into the LCM equation.

GCF(10489,10493) = 1
LCM(10489,10493) = ( 10489 × 10493) / 1
LCM(10489,10493) = 110061077 / 1
LCM(10489,10493) = 110061077

Least Common Multiple (LCM) of 10489 and 10493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10489 and 10493. First we will calculate the prime factors of 10489 and 10493.

Prime Factorization of 10489

Prime Factorization of 10493

Now multiplying the highest exponent prime factors to calculate the LCM of 10489 and 10493.

LCM(10489,10493) = 17¹ × 617¹ × 7¹ × 1499¹
LCM(10489,10493) = 110061077