Least Common Multiple of 15283 and 15288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15283 and 15288 the smallest integer that is 233646504 that is divisible by both numbers.

Least Common Multiple (LCM) of 15283 and 15288 is 233646504.

LCM(15283,15288) = 233646504

LCM of 15283 and 15288

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

LCM of:
and

Least Common Multiple of 15283 and 15288

LCM of 15283 and 15288 is 233646504

Least common multiple can be found by multiplying the highest exponent prime factors of 15283 and 15288. First we will calculate the prime factors of 15283 and 15288.

Prime Factorization of 15283


17 15283
29 899
31 31
1

Prime factors of 15283 are 17, 29,31. Prime factorization of 15283 in exponential form is:

15283 = 171×291×311

Prime Factorization of 15288


2 15288
2 7644
2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 15288 are 2, 3, 7,13. Prime factorization of 15288 in exponential form is:

15288 = 23×31×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 15283 and 15288.

LCM(15283,15288) = 23×31×72×131×171×291×311
LCM(15283,15288) = 233646504

Factors of 15283

List of positive integer factors of 15283 that divides 15283 without a remainder.

1, 17, 29, 31, 493, 527, 899, 15283

Factors of 15288

List of positive integer factors of 15288 that divides 15288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 49, 52, 56, 78, 84, 91, 98, 104, 147, 156, 168, 182, 196, 273, 294, 312, 364, 392, 546, 588, 637, 728, 1092, 1176, 1274, 1911, 2184, 2548, 3822, 5096, 7644, 15288

Least Common Multiple of 15283 and 15288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15283 and 15288, than apply into the LCM equation.

GCF(15283,15288) = 1
LCM(15283,15288) = ( 15283 × 15288) / 1
LCM(15283,15288) = 233646504 / 1
LCM(15283,15288) = 233646504

Properties of LCM 15283 and 15288

(i) The LCM of 15288 and 15283 is associative

LCM of 15283 and 15288 = LCM of 15288 and 15283

Related Least Common Multiples of 15283

Related Least Common Multiples of 15288

Frequently Asked Questions on LCM of 15283 and 15288

1. What is the LCM of 15283 and 15288?

Answer: LCM of 15283 and 15288 is 233646504.

2. What are the Factors of 15283?

Answer: Factors of 15283 are 1, 17, 29, 31, 493, 527, 899, 15283. There are 8 integers that are factors of 15283. The greatest factor of 15283 is 15283.

3. What are the Factors of 15288?

Answer: Factors of 15288 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 49, 52, 56, 78, 84, 91, 98, 104, 147, 156, 168, 182, 196, 273, 294, 312, 364, 392, 546, 588, 637, 728, 1092, 1176, 1274, 1911, 2184, 2548, 3822, 5096, 7644, 15288. There are 48 integers that are factors of 15288. The greatest factor of 15288 is 15288.

4. How to Find the LCM of 15283 and 15288?

Answer:

Least Common Multiple of 15283 and 15288 = 233646504

Step 1: Find the prime factorization of 15283

15283 = 17 x 29 x 31

Step 2: Find the prime factorization of 15288

15288 = 2 x 2 x 2 x 3 x 7 x 7 x 13

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

LCM = 233646504 = 2 x 2 x 2 x 3 x 7 x 7 x 13 x 17 x 29 x 31

Step 4: Therefore, the least common multiple of 15283 and 15288 is 233646504.