GCF and LCM Calculator Logo

What is the Least Common Multiple of 17224 and 17229?

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 (LCM) of 17224 and 17229 is 296752296.

LCM(17224,17229) = 296752296

LCM Calculator and
and

Least Common Multiple of 17224 and 17229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17224 and 17229, than apply into the LCM equation.

GCF(17224,17229) = 1
LCM(17224,17229) = ( 17224 × 17229) / 1
LCM(17224,17229) = 296752296 / 1
LCM(17224,17229) = 296752296

Least Common Multiple (LCM) of 17224 and 17229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17224 and 17229. First we will calculate the prime factors of 17224 and 17229.

Prime Factorization of 17224

Prime factors of 17224 are 2, 2153. Prime factorization of 17224 in exponential form is:

17224 = 23 × 21531

Prime Factorization of 17229

Prime factors of 17229 are 3, 5743. Prime factorization of 17229 in exponential form is:

17229 = 31 × 57431

Now multiplying the highest exponent prime factors to calculate the LCM of 17224 and 17229.

LCM(17224,17229) = 23 × 21531 × 31 × 57431
LCM(17224,17229) = 296752296