What is the Least Common Multiple of 17110 and 17121?

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 17110 and 17121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17110 and 17121, than apply into the LCM equation.

GCF(17110,17121) = 1
LCM(17110,17121) = ( 17110 × 17121) / 1
LCM(17110,17121) = 292940310 / 1
LCM(17110,17121) = 292940310

Least Common Multiple (LCM) of 17110 and 17121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17110 and 17121. First we will calculate the prime factors of 17110 and 17121.

Prime Factorization of 17110

Prime Factorization of 17121

Now multiplying the highest exponent prime factors to calculate the LCM of 17110 and 17121.

LCM(17110,17121) = 2¹ × 5¹ × 29¹ × 59¹ × 3¹ × 13¹ × 439¹
LCM(17110,17121) = 292940310