What is the Least Common Multiple of 17205 and 17216?

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 17205 and 17216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17205 and 17216, than apply into the LCM equation.

GCF(17205,17216) = 1
LCM(17205,17216) = ( 17205 × 17216) / 1
LCM(17205,17216) = 296201280 / 1
LCM(17205,17216) = 296201280

Least Common Multiple (LCM) of 17205 and 17216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17205 and 17216. First we will calculate the prime factors of 17205 and 17216.

Prime Factorization of 17205

Prime Factorization of 17216

Now multiplying the highest exponent prime factors to calculate the LCM of 17205 and 17216.

LCM(17205,17216) = 3¹ × 5¹ × 31¹ × 37¹ × 2⁶ × 269¹
LCM(17205,17216) = 296201280