Least Common Multiple of 15181 and 15184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15181 and 15184 the smallest integer that is 230508304 that is divisible by both numbers.

Least Common Multiple (LCM) of 15181 and 15184 is 230508304.

LCM(15181,15184) = 230508304

LCM of 15181 and 15184

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

LCM of:
and

Least Common Multiple of 15181 and 15184

LCM of 15181 and 15184 is 230508304

Least common multiple can be found by multiplying the highest exponent prime factors of 15181 and 15184. First we will calculate the prime factors of 15181 and 15184.

Prime Factorization of 15181


17 15181
19 893
47 47
1

Prime factors of 15181 are 17, 19,47. Prime factorization of 15181 in exponential form is:

15181 = 171×191×471

Prime Factorization of 15184


2 15184
2 7592
2 3796
2 1898
13 949
73 73
1

Prime factors of 15184 are 2, 13,73. Prime factorization of 15184 in exponential form is:

15184 = 24×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 15181 and 15184.

LCM(15181,15184) = 24×131×171×191×471×731
LCM(15181,15184) = 230508304

Factors of 15181

List of positive integer factors of 15181 that divides 15181 without a remainder.

1, 17, 19, 47, 323, 799, 893, 15181

Factors of 15184

List of positive integer factors of 15184 that divides 15184 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184

Least Common Multiple of 15181 and 15184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15181 and 15184, than apply into the LCM equation.

GCF(15181,15184) = 1
LCM(15181,15184) = ( 15181 × 15184) / 1
LCM(15181,15184) = 230508304 / 1
LCM(15181,15184) = 230508304

Properties of LCM 15181 and 15184

(i) The LCM of 15184 and 15181 is associative

LCM of 15181 and 15184 = LCM of 15184 and 15181

Related Least Common Multiples of 15181

Related Least Common Multiples of 15184

Frequently Asked Questions on LCM of 15181 and 15184

1. What is the LCM of 15181 and 15184?

Answer: LCM of 15181 and 15184 is 230508304.

2. What are the Factors of 15181?

Answer: Factors of 15181 are 1, 17, 19, 47, 323, 799, 893, 15181. There are 8 integers that are factors of 15181. The greatest factor of 15181 is 15181.

3. What are the Factors of 15184?

Answer: Factors of 15184 are 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184. There are 20 integers that are factors of 15184. The greatest factor of 15184 is 15184.

4. How to Find the LCM of 15181 and 15184?

Answer:

Least Common Multiple of 15181 and 15184 = 230508304

Step 1: Find the prime factorization of 15181

15181 = 17 x 19 x 47

Step 2: Find the prime factorization of 15184

15184 = 2 x 2 x 2 x 2 x 13 x 73

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

LCM = 230508304 = 2 x 2 x 2 x 2 x 13 x 17 x 19 x 47 x 73

Step 4: Therefore, the least common multiple of 15181 and 15184 is 230508304.