Least Common Multiple of 15288 and 15294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15288 and 15294 the smallest integer that is 38969112 that is divisible by both numbers.

Least Common Multiple (LCM) of 15288 and 15294 is 38969112.

LCM(15288,15294) = 38969112

LCM of 15288 and 15294

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

LCM of:
and

Least Common Multiple of 15288 and 15294

LCM of 15288 and 15294 is 38969112

Least common multiple can be found by multiplying the highest exponent prime factors of 15288 and 15294. First we will calculate the prime factors of 15288 and 15294.

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

Prime Factorization of 15294


2 15294
3 7647
2549 2549
1

Prime factors of 15294 are 2, 3,2549. Prime factorization of 15294 in exponential form is:

15294 = 21×31×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 15288 and 15294.

LCM(15288,15294) = 23×31×72×131×25491
LCM(15288,15294) = 38969112

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

Factors of 15294

List of positive integer factors of 15294 that divides 15294 without a remainder.

1, 2, 3, 6, 2549, 5098, 7647, 15294

Least Common Multiple of 15288 and 15294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15288 and 15294, than apply into the LCM equation.

GCF(15288,15294) = 6
LCM(15288,15294) = ( 15288 × 15294) / 6
LCM(15288,15294) = 233814672 / 6
LCM(15288,15294) = 38969112

Properties of LCM 15288 and 15294

(i) The LCM of 15294 and 15288 is associative

LCM of 15288 and 15294 = LCM of 15294 and 15288

Related Least Common Multiples of 15288

Related Least Common Multiples of 15294

Frequently Asked Questions on LCM of 15288 and 15294

1. What is the LCM of 15288 and 15294?

Answer: LCM of 15288 and 15294 is 38969112.

2. 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.

3. What are the Factors of 15294?

Answer: Factors of 15294 are 1, 2, 3, 6, 2549, 5098, 7647, 15294. There are 8 integers that are factors of 15294. The greatest factor of 15294 is 15294.

4. How to Find the LCM of 15288 and 15294?

Answer:

Least Common Multiple of 15288 and 15294 = 38969112

Step 1: Find the prime factorization of 15288

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

Step 2: Find the prime factorization of 15294

15294 = 2 x 3 x 2549

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

LCM = 38969112 = 2 x 2 x 2 x 3 x 7 x 7 x 13 x 2549

Step 4: Therefore, the least common multiple of 15288 and 15294 is 38969112.