What is the Least Common Multiple of 10475 and 10491?

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 10475 and 10491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10475 and 10491, than apply into the LCM equation.

GCF(10475,10491) = 1
LCM(10475,10491) = ( 10475 × 10491) / 1
LCM(10475,10491) = 109893225 / 1
LCM(10475,10491) = 109893225

Least Common Multiple (LCM) of 10475 and 10491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10475 and 10491. First we will calculate the prime factors of 10475 and 10491.

Prime Factorization of 10475

Prime Factorization of 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 10475 and 10491.

LCM(10475,10491) = 5² × 419¹ × 3¹ × 13¹ × 269¹
LCM(10475,10491) = 109893225