What is the Least Common Multiple of 17355 and 17371?

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 17355 and 17371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17355 and 17371, than apply into the LCM equation.

GCF(17355,17371) = 1
LCM(17355,17371) = ( 17355 × 17371) / 1
LCM(17355,17371) = 301473705 / 1
LCM(17355,17371) = 301473705

Least Common Multiple (LCM) of 17355 and 17371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17355 and 17371. First we will calculate the prime factors of 17355 and 17371.

Prime Factorization of 17355

Prime Factorization of 17371

Now multiplying the highest exponent prime factors to calculate the LCM of 17355 and 17371.

LCM(17355,17371) = 3¹ × 5¹ × 13¹ × 89¹ × 29¹ × 599¹
LCM(17355,17371) = 301473705