Least Common Multiple of 15177 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 15177 and 15184 the smallest integer that is 230447568 that is divisible by both numbers.

Least Common Multiple (LCM) of 15177 and 15184 is 230447568.

LCM(15177,15184) = 230447568

LCM of 15177 and 15184

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

LCM of:
and

Least Common Multiple of 15177 and 15184

LCM of 15177 and 15184 is 230447568

Least common multiple can be found by multiplying the highest exponent prime factors of 15177 and 15184. First we will calculate the prime factors of 15177 and 15184.

Prime Factorization of 15177


3 15177
5059 5059
1

Prime factors of 15177 are 3,5059. Prime factorization of 15177 in exponential form is:

15177 = 31×50591

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 15177 and 15184.

LCM(15177,15184) = 24×31×131×731×50591
LCM(15177,15184) = 230447568

Factors of 15177

List of positive integer factors of 15177 that divides 15177 without a remainder.

1, 3, 5059, 15177

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 15177 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 15177 and 15184, than apply into the LCM equation.

GCF(15177,15184) = 1
LCM(15177,15184) = ( 15177 × 15184) / 1
LCM(15177,15184) = 230447568 / 1
LCM(15177,15184) = 230447568

Properties of LCM 15177 and 15184

(i) The LCM of 15184 and 15177 is associative

LCM of 15177 and 15184 = LCM of 15184 and 15177

Related Least Common Multiples of 15177

Related Least Common Multiples of 15184

Frequently Asked Questions on LCM of 15177 and 15184

1. What is the LCM of 15177 and 15184?

Answer: LCM of 15177 and 15184 is 230447568.

2. What are the Factors of 15177?

Answer: Factors of 15177 are 1, 3, 5059, 15177. There are 4 integers that are factors of 15177. The greatest factor of 15177 is 15177.

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 15177 and 15184?

Answer:

Least Common Multiple of 15177 and 15184 = 230447568

Step 1: Find the prime factorization of 15177

15177 = 3 x 5059

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 = 230447568 = 2 x 2 x 2 x 2 x 3 x 13 x 73 x 5059

Step 4: Therefore, the least common multiple of 15177 and 15184 is 230447568.