Least Common Multiple of 7539 and 7543
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7539 and 7543 the smallest integer that is 56866677 that is divisible by both numbers.
Least Common Multiple (LCM) of 7539 and 7543 is 56866677.
LCM(7539,7543) = 56866677
LCM of 7539 and 7543
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7539 and 7543 by Prime method
- Least Common Multiple of 7539 and 7543 with GCF Formula
LCM of 7539 and 7543 is 56866677
Least common multiple can be found by multiplying the highest exponent prime factors of 7539 and 7543. First we will calculate the prime factors of 7539 and 7543.
Prime Factorization of 7539
| 3 | 7539 |
| 7 | 2513 |
| 359 | 359 |
| 1 |
Prime factors of 7539 are 3, 7,359. Prime factorization of 7539 in exponential form is:
7539 = 31×71×3591
Prime Factorization of 7543
| 19 | 7543 |
| 397 | 397 |
| 1 |
Prime factors of 7543 are 19,397. Prime factorization of 7543 in exponential form is:
7543 = 191×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 7539 and 7543.
LCM(7539,7543) = 31×71×191×3591×3971
LCM(7539,7543) = 56866677
Factors of 7539
List of positive integer factors of 7539 that divides 7539 without a remainder.
1, 3, 7, 21, 359, 1077, 2513, 7539
Factors of 7543
List of positive integer factors of 7543 that divides 7543 without a remainder.
1, 19, 397, 7543
Least Common Multiple of 7539 and 7543 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7539 and 7543, than apply into the LCM equation.
GCF(7539,7543) = 1
LCM(7539,7543) = ( 7539 × 7543) / 1
LCM(7539,7543) = 56866677 / 1
LCM(7539,7543) = 56866677
Properties of LCM 7539 and 7543
(i) The LCM of 7543 and 7539 is associative
LCM of 7539 and 7543 = LCM of 7543 and 7539
Related Least Common Multiples of 7539
Related Least Common Multiples of 7543
Frequently Asked Questions on LCM of 7539 and 7543
1. What is the LCM of 7539 and 7543?
Answer: LCM of 7539 and 7543 is 56866677.
2. What are the Factors of 7539?
Answer: Factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539. There are 8 integers that are factors of 7539. The greatest factor of 7539 is 7539.
3. What are the Factors of 7543?
Answer: Factors of 7543 are 1, 19, 397, 7543. There are 4 integers that are factors of 7543. The greatest factor of 7543 is 7543.
4. How to Find the LCM of 7539 and 7543?
Answer:
Least Common Multiple of 7539 and 7543 = 56866677
Step 1: Find the prime factorization of 7539
7539 = 3 x 7 x 359
Step 2: Find the prime factorization of 7543
7543 = 19 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56866677 = 3 x 7 x 19 x 359 x 397
Step 4: Therefore, the least common multiple of 7539 and 7543 is 56866677.