Least Common Multiple of 7534 and 7539
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7534 and 7539 the smallest integer that is 56798826 that is divisible by both numbers.
Least Common Multiple (LCM) of 7534 and 7539 is 56798826.
LCM(7534,7539) = 56798826
LCM of 7534 and 7539
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7534 and 7539 by Prime method
- Least Common Multiple of 7534 and 7539 with GCF Formula
LCM of 7534 and 7539 is 56798826
Least common multiple can be found by multiplying the highest exponent prime factors of 7534 and 7539. First we will calculate the prime factors of 7534 and 7539.
Prime Factorization of 7534
| 2 | 7534 |
| 3767 | 3767 |
| 1 |
Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:
7534 = 21×37671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7534 and 7539.
LCM(7534,7539) = 21×31×71×3591×37671
LCM(7534,7539) = 56798826
Factors of 7534
List of positive integer factors of 7534 that divides 7534 without a remainder.
1, 2, 3767, 7534
Factors of 7539
List of positive integer factors of 7539 that divides 7539 without a remainder.
1, 3, 7, 21, 359, 1077, 2513, 7539
Least Common Multiple of 7534 and 7539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7534 and 7539, than apply into the LCM equation.
GCF(7534,7539) = 1
LCM(7534,7539) = ( 7534 × 7539) / 1
LCM(7534,7539) = 56798826 / 1
LCM(7534,7539) = 56798826
Properties of LCM 7534 and 7539
(i) The LCM of 7539 and 7534 is associative
LCM of 7534 and 7539 = LCM of 7539 and 7534
Related Least Common Multiples of 7534
Related Least Common Multiples of 7539
Frequently Asked Questions on LCM of 7534 and 7539
1. What is the LCM of 7534 and 7539?
Answer: LCM of 7534 and 7539 is 56798826.
2. What are the Factors of 7534?
Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.
3. 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.
4. How to Find the LCM of 7534 and 7539?
Answer:
Least Common Multiple of 7534 and 7539 = 56798826
Step 1: Find the prime factorization of 7534
7534 = 2 x 3767
Step 2: Find the prime factorization of 7539
7539 = 3 x 7 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56798826 = 2 x 3 x 7 x 359 x 3767
Step 4: Therefore, the least common multiple of 7534 and 7539 is 56798826.