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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 15178 and 15174 is associative
LCM of 15174 and 15178 = LCM of 15178 and 15174
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.