Least Common Multiple of 15174 and 15180

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 15180 the smallest integer that is 38390220 that is divisible by both numbers.

Least Common Multiple (LCM) of 15174 and 15180 is 38390220.

LCM(15174,15180) = 38390220

LCM of 15174 and 15180

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

LCM of:
and

Least Common Multiple of 15174 and 15180

LCM of 15174 and 15180 is 38390220

Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15180. First we will calculate the prime factors of 15174 and 15180.

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 15180


2 15180
2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 15180 are 2, 3, 5, 11,23. Prime factorization of 15180 in exponential form is:

15180 = 22×31×51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15180.

LCM(15174,15180) = 22×33×51×111×231×2811
LCM(15174,15180) = 38390220

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 15180

List of positive integer factors of 15180 that divides 15180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180

Least Common Multiple of 15174 and 15180 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 15180, than apply into the LCM equation.

GCF(15174,15180) = 6
LCM(15174,15180) = ( 15174 × 15180) / 6
LCM(15174,15180) = 230341320 / 6
LCM(15174,15180) = 38390220

Properties of LCM 15174 and 15180

(i) The LCM of 15180 and 15174 is associative

LCM of 15174 and 15180 = LCM of 15180 and 15174

Related Least Common Multiples of 15174

Related Least Common Multiples of 15180

Frequently Asked Questions on LCM of 15174 and 15180

1. What is the LCM of 15174 and 15180?

Answer: LCM of 15174 and 15180 is 38390220.

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 15180?

Answer: Factors of 15180 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180. There are 48 integers that are factors of 15180. The greatest factor of 15180 is 15180.

4. How to Find the LCM of 15174 and 15180?

Answer:

Least Common Multiple of 15174 and 15180 = 38390220

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 15180

15180 = 2 x 2 x 3 x 5 x 11 x 23

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

LCM = 38390220 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 23 x 281

Step 4: Therefore, the least common multiple of 15174 and 15180 is 38390220.