Least Common Multiple of 17228 and 17232

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 17232 the smallest integer that is 74218224 that is divisible by both numbers.

Least Common Multiple (LCM) of 17228 and 17232 is 74218224.

LCM(17228,17232) = 74218224

LCM of 17228 and 17232

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

LCM of:
and

Least Common Multiple of 17228 and 17232

LCM of 17228 and 17232 is 74218224

Least common multiple can be found by multiplying the highest exponent prime factors of 17228 and 17232. First we will calculate the prime factors of 17228 and 17232.

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 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2, 3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 17228 and 17232.

LCM(17228,17232) = 24×31×591×731×3591
LCM(17228,17232) = 74218224

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 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232

Least Common Multiple of 17228 and 17232 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 17232, than apply into the LCM equation.

GCF(17228,17232) = 4
LCM(17228,17232) = ( 17228 × 17232) / 4
LCM(17228,17232) = 296872896 / 4
LCM(17228,17232) = 74218224

Properties of LCM 17228 and 17232

(i) The LCM of 17232 and 17228 is associative

LCM of 17228 and 17232 = LCM of 17232 and 17228

Related Least Common Multiples of 17228

Related Least Common Multiples of 17232

Frequently Asked Questions on LCM of 17228 and 17232

1. What is the LCM of 17228 and 17232?

Answer: LCM of 17228 and 17232 is 74218224.

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 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

4. How to Find the LCM of 17228 and 17232?

Answer:

Least Common Multiple of 17228 and 17232 = 74218224

Step 1: Find the prime factorization of 17228

17228 = 2 x 2 x 59 x 73

Step 2: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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

LCM = 74218224 = 2 x 2 x 2 x 2 x 3 x 59 x 73 x 359

Step 4: Therefore, the least common multiple of 17228 and 17232 is 74218224.