Least Common Multiple of 7539 and 7546
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 7546 the smallest integer that is 8127042 that is divisible by both numbers.
Least Common Multiple (LCM) of 7539 and 7546 is 8127042.
LCM(7539,7546) = 8127042
LCM of 7539 and 7546
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7539 and 7546 by Prime method
- Least Common Multiple of 7539 and 7546 with GCF Formula
LCM of 7539 and 7546 is 8127042
Least common multiple can be found by multiplying the highest exponent prime factors of 7539 and 7546. First we will calculate the prime factors of 7539 and 7546.
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 7546
| 2 | 7546 |
| 7 | 3773 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 7546 are 2, 7,11. Prime factorization of 7546 in exponential form is:
7546 = 21×73×111
Now multiplying the highest exponent prime factors to calculate the LCM of 7539 and 7546.
LCM(7539,7546) = 21×31×73×111×3591
LCM(7539,7546) = 8127042
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 7546
List of positive integer factors of 7546 that divides 7546 without a remainder.
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
Least Common Multiple of 7539 and 7546 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 7546, than apply into the LCM equation.
GCF(7539,7546) = 7
LCM(7539,7546) = ( 7539 × 7546) / 7
LCM(7539,7546) = 56889294 / 7
LCM(7539,7546) = 8127042
Properties of LCM 7539 and 7546
(i) The LCM of 7546 and 7539 is associative
LCM of 7539 and 7546 = LCM of 7546 and 7539
Related Least Common Multiples of 7539
Related Least Common Multiples of 7546
Frequently Asked Questions on LCM of 7539 and 7546
1. What is the LCM of 7539 and 7546?
Answer: LCM of 7539 and 7546 is 8127042.
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 7546?
Answer: Factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546. There are 16 integers that are factors of 7546. The greatest factor of 7546 is 7546.
4. How to Find the LCM of 7539 and 7546?
Answer:
Least Common Multiple of 7539 and 7546 = 8127042
Step 1: Find the prime factorization of 7539
7539 = 3 x 7 x 359
Step 2: Find the prime factorization of 7546
7546 = 2 x 7 x 7 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8127042 = 2 x 3 x 7 x 7 x 7 x 11 x 359
Step 4: Therefore, the least common multiple of 7539 and 7546 is 8127042.