Least Common Multiple of 15284 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 15284 and 15288 the smallest integer that is 58415448 that is divisible by both numbers.

Least Common Multiple (LCM) of 15284 and 15288 is 58415448.

LCM(15284,15288) = 58415448

LCM of 15284 and 15288

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

LCM of:
and

Least Common Multiple of 15284 and 15288

LCM of 15284 and 15288 is 58415448

Least common multiple can be found by multiplying the highest exponent prime factors of 15284 and 15288. First we will calculate the prime factors of 15284 and 15288.

Prime Factorization of 15284


2 15284
2 7642
3821 3821
1

Prime factors of 15284 are 2,3821. Prime factorization of 15284 in exponential form is:

15284 = 22×38211

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 15284 and 15288.

LCM(15284,15288) = 23×31×72×131×38211
LCM(15284,15288) = 58415448

Factors of 15284

List of positive integer factors of 15284 that divides 15284 without a remainder.

1, 2, 4, 3821, 7642, 15284

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 15284 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 15284 and 15288, than apply into the LCM equation.

GCF(15284,15288) = 4
LCM(15284,15288) = ( 15284 × 15288) / 4
LCM(15284,15288) = 233661792 / 4
LCM(15284,15288) = 58415448

Properties of LCM 15284 and 15288

(i) The LCM of 15288 and 15284 is associative

LCM of 15284 and 15288 = LCM of 15288 and 15284

Related Least Common Multiples of 15284

Related Least Common Multiples of 15288

Frequently Asked Questions on LCM of 15284 and 15288

1. What is the LCM of 15284 and 15288?

Answer: LCM of 15284 and 15288 is 58415448.

2. What are the Factors of 15284?

Answer: Factors of 15284 are 1, 2, 4, 3821, 7642, 15284. There are 6 integers that are factors of 15284. The greatest factor of 15284 is 15284.

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 15284 and 15288?

Answer:

Least Common Multiple of 15284 and 15288 = 58415448

Step 1: Find the prime factorization of 15284

15284 = 2 x 2 x 3821

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 = 58415448 = 2 x 2 x 2 x 3 x 7 x 7 x 13 x 3821

Step 4: Therefore, the least common multiple of 15284 and 15288 is 58415448.