Least Common Multiple of 17228 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 17228 and 17235 the smallest integer that is 296924580 that is divisible by both numbers.

Least Common Multiple (LCM) of 17228 and 17235 is 296924580.

LCM(17228,17235) = 296924580

LCM of 17228 and 17235

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

LCM of:
and

Least Common Multiple of 17228 and 17235

LCM of 17228 and 17235 is 296924580

Least common multiple can be found by multiplying the highest exponent prime factors of 17228 and 17235. First we will calculate the prime factors of 17228 and 17235.

Prime Factorization of 17228


2 17228
2 8614
59 4307
73 73
1

Prime factors of 17228 are 2, 59,73. Prime factorization of 17228 in exponential form is:

17228 = 22×591×731

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 17228 and 17235.

LCM(17228,17235) = 22×32×51×591×731×3831
LCM(17228,17235) = 296924580

Factors of 17228

List of positive integer factors of 17228 that divides 17228 without a remainder.

1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228

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 17228 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 17228 and 17235, than apply into the LCM equation.

GCF(17228,17235) = 1
LCM(17228,17235) = ( 17228 × 17235) / 1
LCM(17228,17235) = 296924580 / 1
LCM(17228,17235) = 296924580

Properties of LCM 17228 and 17235

(i) The LCM of 17235 and 17228 is associative

LCM of 17228 and 17235 = LCM of 17235 and 17228

Related Least Common Multiples of 17228

Related Least Common Multiples of 17235

Frequently Asked Questions on LCM of 17228 and 17235

1. What is the LCM of 17228 and 17235?

Answer: LCM of 17228 and 17235 is 296924580.

2. What are the Factors of 17228?

Answer: Factors of 17228 are 1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228. There are 12 integers that are factors of 17228. The greatest factor of 17228 is 17228.

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 17228 and 17235?

Answer:

Least Common Multiple of 17228 and 17235 = 296924580

Step 1: Find the prime factorization of 17228

17228 = 2 x 2 x 59 x 73

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 = 296924580 = 2 x 2 x 3 x 3 x 5 x 59 x 73 x 383

Step 4: Therefore, the least common multiple of 17228 and 17235 is 296924580.