What is the Least Common Multiple of 17223 and 17228?

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 17223 and 17228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17223 and 17228, than apply into the LCM equation.

GCF(17223,17228) = 1
LCM(17223,17228) = ( 17223 × 17228) / 1
LCM(17223,17228) = 296717844 / 1
LCM(17223,17228) = 296717844

Least Common Multiple (LCM) of 17223 and 17228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17223 and 17228. First we will calculate the prime factors of 17223 and 17228.

Prime Factorization of 17223

Prime Factorization of 17228

Now multiplying the highest exponent prime factors to calculate the LCM of 17223 and 17228.

LCM(17223,17228) = 3¹ × 5741¹ × 2² × 59¹ × 73¹
LCM(17223,17228) = 296717844