What is the Least Common Multiple of 10538 and 10547?

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 10538 and 10547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10538 and 10547, than apply into the LCM equation.

GCF(10538,10547) = 1
LCM(10538,10547) = ( 10538 × 10547) / 1
LCM(10538,10547) = 111144286 / 1
LCM(10538,10547) = 111144286

Least Common Multiple (LCM) of 10538 and 10547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10538 and 10547. First we will calculate the prime factors of 10538 and 10547.

Prime Factorization of 10538

Prime Factorization of 10547

Now multiplying the highest exponent prime factors to calculate the LCM of 10538 and 10547.

LCM(10538,10547) = 2¹ × 11¹ × 479¹ × 53¹ × 199¹
LCM(10538,10547) = 111144286