Least Common Multiple of 17229 and 17235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17229 and 17235 the smallest integer that is 98980605 that is divisible by both numbers.

Least Common Multiple (LCM) of 17229 and 17235 is 98980605.

LCM(17229,17235) = 98980605

LCM of 17229 and 17235

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 17229 and 17235

LCM of 17229 and 17235 is 98980605

Least common multiple can be found by multiplying the highest exponent prime factors of 17229 and 17235. First we will calculate the prime factors of 17229 and 17235.

Prime Factorization of 17229


3 17229
5743 5743
1

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

17229 = 31×57431

Prime Factorization of 17235


3 17235
3 5745
5 1915
383 383
1

Prime factors of 17235 are 3, 5,383. Prime factorization of 17235 in exponential form is:

17235 = 32×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 17229 and 17235.

LCM(17229,17235) = 32×51×3831×57431
LCM(17229,17235) = 98980605

Factors of 17229

List of positive integer factors of 17229 that divides 17229 without a remainder.

1, 3, 5743, 17229

Factors of 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235

Least Common Multiple of 17229 and 17235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17229 and 17235, than apply into the LCM equation.

GCF(17229,17235) = 3
LCM(17229,17235) = ( 17229 × 17235) / 3
LCM(17229,17235) = 296941815 / 3
LCM(17229,17235) = 98980605

Properties of LCM 17229 and 17235

(i) The LCM of 17235 and 17229 is associative

LCM of 17229 and 17235 = LCM of 17235 and 17229

Related Least Common Multiples of 17229

Related Least Common Multiples of 17235

Frequently Asked Questions on LCM of 17229 and 17235

1. What is the LCM of 17229 and 17235?

Answer: LCM of 17229 and 17235 is 98980605.

2. What are the Factors of 17229?

Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.

3. What are the Factors of 17235?

Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.

4. How to Find the LCM of 17229 and 17235?

Answer:

Least Common Multiple of 17229 and 17235 = 98980605

Step 1: Find the prime factorization of 17229

17229 = 3 x 5743

Step 2: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 98980605 = 3 x 3 x 5 x 383 x 5743

Step 4: Therefore, the least common multiple of 17229 and 17235 is 98980605.