Least Common Multiple of 15371 and 15379
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15371 and 15379 the smallest integer that is 236390609 that is divisible by both numbers.
Least Common Multiple (LCM) of 15371 and 15379 is 236390609.
LCM(15371,15379) = 236390609
LCM of 15371 and 15379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15371 and 15379 by Prime method
- Least Common Multiple of 15371 and 15379 with GCF Formula
LCM of 15371 and 15379 is 236390609
Least common multiple can be found by multiplying the highest exponent prime factors of 15371 and 15379. First we will calculate the prime factors of 15371 and 15379.
Prime Factorization of 15371
| 19 | 15371 |
| 809 | 809 |
| 1 |
Prime factors of 15371 are 19,809. Prime factorization of 15371 in exponential form is:
15371 = 191×8091
Prime Factorization of 15379
| 7 | 15379 |
| 13 | 2197 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 15379 are 7,13. Prime factorization of 15379 in exponential form is:
15379 = 71×133
Now multiplying the highest exponent prime factors to calculate the LCM of 15371 and 15379.
LCM(15371,15379) = 71×133×191×8091
LCM(15371,15379) = 236390609
Factors of 15371
List of positive integer factors of 15371 that divides 15371 without a remainder.
1, 19, 809, 15371
Factors of 15379
List of positive integer factors of 15379 that divides 15379 without a remainder.
1, 7, 13, 91, 169, 1183, 2197, 15379
Least Common Multiple of 15371 and 15379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15371 and 15379, than apply into the LCM equation.
GCF(15371,15379) = 1
LCM(15371,15379) = ( 15371 × 15379) / 1
LCM(15371,15379) = 236390609 / 1
LCM(15371,15379) = 236390609
Properties of LCM 15371 and 15379
(i) The LCM of 15379 and 15371 is associative
LCM of 15371 and 15379 = LCM of 15379 and 15371
Related Least Common Multiples of 15371
Related Least Common Multiples of 15379
Frequently Asked Questions on LCM of 15371 and 15379
1. What is the LCM of 15371 and 15379?
Answer: LCM of 15371 and 15379 is 236390609.
2. What are the Factors of 15371?
Answer: Factors of 15371 are 1, 19, 809, 15371. There are 4 integers that are factors of 15371. The greatest factor of 15371 is 15371.
3. What are the Factors of 15379?
Answer: Factors of 15379 are 1, 7, 13, 91, 169, 1183, 2197, 15379. There are 8 integers that are factors of 15379. The greatest factor of 15379 is 15379.
4. How to Find the LCM of 15371 and 15379?
Answer:
Least Common Multiple of 15371 and 15379 = 236390609
Step 1: Find the prime factorization of 15371
15371 = 19 x 809
Step 2: Find the prime factorization of 15379
15379 = 7 x 13 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 236390609 = 7 x 13 x 13 x 13 x 19 x 809
Step 4: Therefore, the least common multiple of 15371 and 15379 is 236390609.