Least Common Multiple of 15184 and 15191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15184 and 15191 the smallest integer that is 230660144 that is divisible by both numbers.

Least Common Multiple (LCM) of 15184 and 15191 is 230660144.

LCM(15184,15191) = 230660144

LCM of 15184 and 15191

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

LCM of:
and

Least Common Multiple of 15184 and 15191

LCM of 15184 and 15191 is 230660144

Least common multiple can be found by multiplying the highest exponent prime factors of 15184 and 15191. First we will calculate the prime factors of 15184 and 15191.

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

Prime Factorization of 15191


11 15191
1381 1381
1

Prime factors of 15191 are 11,1381. Prime factorization of 15191 in exponential form is:

15191 = 111×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 15184 and 15191.

LCM(15184,15191) = 24×111×131×731×13811
LCM(15184,15191) = 230660144

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

Factors of 15191

List of positive integer factors of 15191 that divides 15191 without a remainder.

1, 11, 1381, 15191

Least Common Multiple of 15184 and 15191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15184 and 15191, than apply into the LCM equation.

GCF(15184,15191) = 1
LCM(15184,15191) = ( 15184 × 15191) / 1
LCM(15184,15191) = 230660144 / 1
LCM(15184,15191) = 230660144

Properties of LCM 15184 and 15191

(i) The LCM of 15191 and 15184 is associative

LCM of 15184 and 15191 = LCM of 15191 and 15184

Related Least Common Multiples of 15184

Related Least Common Multiples of 15191

Frequently Asked Questions on LCM of 15184 and 15191

1. What is the LCM of 15184 and 15191?

Answer: LCM of 15184 and 15191 is 230660144.

2. 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.

3. What are the Factors of 15191?

Answer: Factors of 15191 are 1, 11, 1381, 15191. There are 4 integers that are factors of 15191. The greatest factor of 15191 is 15191.

4. How to Find the LCM of 15184 and 15191?

Answer:

Least Common Multiple of 15184 and 15191 = 230660144

Step 1: Find the prime factorization of 15184

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

Step 2: Find the prime factorization of 15191

15191 = 11 x 1381

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

LCM = 230660144 = 2 x 2 x 2 x 2 x 11 x 13 x 73 x 1381

Step 4: Therefore, the least common multiple of 15184 and 15191 is 230660144.