Least Common Multiple of 15174 and 15178

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 15178 the smallest integer that is 115155486 that is divisible by both numbers.

Least Common Multiple (LCM) of 15174 and 15178 is 115155486.

LCM(15174,15178) = 115155486

LCM of 15174 and 15178

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

LCM of:
and

Least Common Multiple of 15174 and 15178

LCM of 15174 and 15178 is 115155486

Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15178. First we will calculate the prime factors of 15174 and 15178.

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 15178


2 15178
7589 7589
1

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

15178 = 21×75891

Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15178.

LCM(15174,15178) = 21×33×2811×75891
LCM(15174,15178) = 115155486

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 15178

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

1, 2, 7589, 15178

Least Common Multiple of 15174 and 15178 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 15178, than apply into the LCM equation.

GCF(15174,15178) = 2
LCM(15174,15178) = ( 15174 × 15178) / 2
LCM(15174,15178) = 230310972 / 2
LCM(15174,15178) = 115155486

Properties of LCM 15174 and 15178

(i) The LCM of 15178 and 15174 is associative

LCM of 15174 and 15178 = LCM of 15178 and 15174

Related Least Common Multiples of 15174

Related Least Common Multiples of 15178

Frequently Asked Questions on LCM of 15174 and 15178

1. What is the LCM of 15174 and 15178?

Answer: LCM of 15174 and 15178 is 115155486.

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 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.

4. How to Find the LCM of 15174 and 15178?

Answer:

Least Common Multiple of 15174 and 15178 = 115155486

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 15178

15178 = 2 x 7589

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

LCM = 115155486 = 2 x 3 x 3 x 3 x 281 x 7589

Step 4: Therefore, the least common multiple of 15174 and 15178 is 115155486.