What is the Least Common Multiple of 17213 and 17227?

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 17213 and 17227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17213 and 17227, than apply into the LCM equation.

GCF(17213,17227) = 7
LCM(17213,17227) = ( 17213 × 17227) / 7
LCM(17213,17227) = 296528351 / 7
LCM(17213,17227) = 42361193

Least Common Multiple (LCM) of 17213 and 17227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17213 and 17227. First we will calculate the prime factors of 17213 and 17227.

Prime Factorization of 17213

Prime Factorization of 17227

Now multiplying the highest exponent prime factors to calculate the LCM of 17213 and 17227.

LCM(17213,17227) = 7¹ × 2459¹ × 23¹ × 107¹
LCM(17213,17227) = 42361193