Least Common Multiple of 15183 and 15189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15183 and 15189 the smallest integer that is 76871529 that is divisible by both numbers.
Least Common Multiple (LCM) of 15183 and 15189 is 76871529.
LCM(15183,15189) = 76871529
LCM of 15183 and 15189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15183 and 15189 by Prime method
- Least Common Multiple of 15183 and 15189 with GCF Formula
LCM of 15183 and 15189 is 76871529
Least common multiple can be found by multiplying the highest exponent prime factors of 15183 and 15189. First we will calculate the prime factors of 15183 and 15189.
Prime Factorization of 15183
| 3 | 15183 |
| 3 | 5061 |
| 7 | 1687 |
| 241 | 241 |
| 1 |
Prime factors of 15183 are 3, 7,241. Prime factorization of 15183 in exponential form is:
15183 = 32×71×2411
Prime Factorization of 15189
| 3 | 15189 |
| 61 | 5063 |
| 83 | 83 |
| 1 |
Prime factors of 15189 are 3, 61,83. Prime factorization of 15189 in exponential form is:
15189 = 31×611×831
Now multiplying the highest exponent prime factors to calculate the LCM of 15183 and 15189.
LCM(15183,15189) = 32×71×611×831×2411
LCM(15183,15189) = 76871529
Factors of 15183
List of positive integer factors of 15183 that divides 15183 without a remainder.
1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183
Factors of 15189
List of positive integer factors of 15189 that divides 15189 without a remainder.
1, 3, 61, 83, 183, 249, 5063, 15189
Least Common Multiple of 15183 and 15189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15183 and 15189, than apply into the LCM equation.
GCF(15183,15189) = 3
LCM(15183,15189) = ( 15183 × 15189) / 3
LCM(15183,15189) = 230614587 / 3
LCM(15183,15189) = 76871529
Properties of LCM 15183 and 15189
(i) The LCM of 15189 and 15183 is associative
LCM of 15183 and 15189 = LCM of 15189 and 15183
Related Least Common Multiples of 15183
Related Least Common Multiples of 15189
Frequently Asked Questions on LCM of 15183 and 15189
1. What is the LCM of 15183 and 15189?
Answer: LCM of 15183 and 15189 is 76871529.
2. What are the Factors of 15183?
Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.
3. What are the Factors of 15189?
Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.
4. How to Find the LCM of 15183 and 15189?
Answer:
Least Common Multiple of 15183 and 15189 = 76871529
Step 1: Find the prime factorization of 15183
15183 = 3 x 3 x 7 x 241
Step 2: Find the prime factorization of 15189
15189 = 3 x 61 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76871529 = 3 x 3 x 7 x 61 x 83 x 241
Step 4: Therefore, the least common multiple of 15183 and 15189 is 76871529.