Least Common Multiple of 15178 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 15178 and 15184 the smallest integer that is 115231376 that is divisible by both numbers.

Least Common Multiple (LCM) of 15178 and 15184 is 115231376.

LCM(15178,15184) = 115231376

LCM of 15178 and 15184

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

LCM of:
and

Least Common Multiple of 15178 and 15184

LCM of 15178 and 15184 is 115231376

Least common multiple can be found by multiplying the highest exponent prime factors of 15178 and 15184. First we will calculate the prime factors of 15178 and 15184.

Prime Factorization of 15178


2 15178
7589 7589
1

Prime factors of 15178 are 2,7589. Prime factorization of 15178 in exponential form is:

15178 = 21×75891

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 15178 and 15184.

LCM(15178,15184) = 24×131×731×75891
LCM(15178,15184) = 115231376

Factors of 15178

List of positive integer factors of 15178 that divides 15178 without a remainder.

1, 2, 7589, 15178

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 15178 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 15178 and 15184, than apply into the LCM equation.

GCF(15178,15184) = 2
LCM(15178,15184) = ( 15178 × 15184) / 2
LCM(15178,15184) = 230462752 / 2
LCM(15178,15184) = 115231376

Properties of LCM 15178 and 15184

(i) The LCM of 15184 and 15178 is associative

LCM of 15178 and 15184 = LCM of 15184 and 15178

Related Least Common Multiples of 15178

Related Least Common Multiples of 15184

Frequently Asked Questions on LCM of 15178 and 15184

1. What is the LCM of 15178 and 15184?

Answer: LCM of 15178 and 15184 is 115231376.

2. What are the Factors of 15178?

Answer: Factors of 15178 are 1, 2, 7589, 15178. There are 4 integers that are factors of 15178. The greatest factor of 15178 is 15178.

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 15178 and 15184?

Answer:

Least Common Multiple of 15178 and 15184 = 115231376

Step 1: Find the prime factorization of 15178

15178 = 2 x 7589

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 = 115231376 = 2 x 2 x 2 x 2 x 13 x 73 x 7589

Step 4: Therefore, the least common multiple of 15178 and 15184 is 115231376.