Least Common Multiple of 15174 and 15182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15174 and 15182 the smallest integer that is 115185834 that is divisible by both numbers.

Least Common Multiple (LCM) of 15174 and 15182 is 115185834.

LCM(15174,15182) = 115185834

LCM of 15174 and 15182

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

LCM of:
and

Least Common Multiple of 15174 and 15182

LCM of 15174 and 15182 is 115185834

Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15182. First we will calculate the prime factors of 15174 and 15182.

Prime Factorization of 15174


2 15174
3 7587
3 2529
3 843
281 281
1

Prime factors of 15174 are 2, 3,281. Prime factorization of 15174 in exponential form is:

15174 = 21×33×2811

Prime Factorization of 15182


2 15182
7591 7591
1

Prime factors of 15182 are 2,7591. Prime factorization of 15182 in exponential form is:

15182 = 21×75911

Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15182.

LCM(15174,15182) = 21×33×2811×75911
LCM(15174,15182) = 115185834

Factors of 15174

List of positive integer factors of 15174 that divides 15174 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587, 15174

Factors of 15182

List of positive integer factors of 15182 that divides 15182 without a remainder.

1, 2, 7591, 15182

Least Common Multiple of 15174 and 15182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15174 and 15182, than apply into the LCM equation.

GCF(15174,15182) = 2
LCM(15174,15182) = ( 15174 × 15182) / 2
LCM(15174,15182) = 230371668 / 2
LCM(15174,15182) = 115185834

Properties of LCM 15174 and 15182

(i) The LCM of 15182 and 15174 is associative

LCM of 15174 and 15182 = LCM of 15182 and 15174

Related Least Common Multiples of 15174

Related Least Common Multiples of 15182

Frequently Asked Questions on LCM of 15174 and 15182

1. What is the LCM of 15174 and 15182?

Answer: LCM of 15174 and 15182 is 115185834.

2. What are the Factors of 15174?

Answer: Factors of 15174 are 1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587, 15174. There are 16 integers that are factors of 15174. The greatest factor of 15174 is 15174.

3. What are the Factors of 15182?

Answer: Factors of 15182 are 1, 2, 7591, 15182. There are 4 integers that are factors of 15182. The greatest factor of 15182 is 15182.

4. How to Find the LCM of 15174 and 15182?

Answer:

Least Common Multiple of 15174 and 15182 = 115185834

Step 1: Find the prime factorization of 15174

15174 = 2 x 3 x 3 x 3 x 281

Step 2: Find the prime factorization of 15182

15182 = 2 x 7591

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

LCM = 115185834 = 2 x 3 x 3 x 3 x 281 x 7591

Step 4: Therefore, the least common multiple of 15174 and 15182 is 115185834.