Least Common Multiple of 7546 and 7553
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7546 and 7553 the smallest integer that is 8142134 that is divisible by both numbers.
Least Common Multiple (LCM) of 7546 and 7553 is 8142134.
LCM(7546,7553) = 8142134
LCM of 7546 and 7553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7546 and 7553 by Prime method
- Least Common Multiple of 7546 and 7553 with GCF Formula
LCM of 7546 and 7553 is 8142134
Least common multiple can be found by multiplying the highest exponent prime factors of 7546 and 7553. First we will calculate the prime factors of 7546 and 7553.
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
Prime Factorization of 7553
| 7 | 7553 |
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 7553 are 7, 13,83. Prime factorization of 7553 in exponential form is:
7553 = 71×131×831
Now multiplying the highest exponent prime factors to calculate the LCM of 7546 and 7553.
LCM(7546,7553) = 21×73×111×131×831
LCM(7546,7553) = 8142134
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
Factors of 7553
List of positive integer factors of 7553 that divides 7553 without a remainder.
1, 7, 13, 83, 91, 581, 1079, 7553
Least Common Multiple of 7546 and 7553 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7546 and 7553, than apply into the LCM equation.
GCF(7546,7553) = 7
LCM(7546,7553) = ( 7546 × 7553) / 7
LCM(7546,7553) = 56994938 / 7
LCM(7546,7553) = 8142134
Properties of LCM 7546 and 7553
(i) The LCM of 7553 and 7546 is associative
LCM of 7546 and 7553 = LCM of 7553 and 7546
Related Least Common Multiples of 7546
Related Least Common Multiples of 7553
Frequently Asked Questions on LCM of 7546 and 7553
1. What is the LCM of 7546 and 7553?
Answer: LCM of 7546 and 7553 is 8142134.
2. 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.
3. What are the Factors of 7553?
Answer: Factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553. There are 8 integers that are factors of 7553. The greatest factor of 7553 is 7553.
4. How to Find the LCM of 7546 and 7553?
Answer:
Least Common Multiple of 7546 and 7553 = 8142134
Step 1: Find the prime factorization of 7546
7546 = 2 x 7 x 7 x 7 x 11
Step 2: Find the prime factorization of 7553
7553 = 7 x 13 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 = 8142134 = 2 x 7 x 7 x 7 x 11 x 13 x 83
Step 4: Therefore, the least common multiple of 7546 and 7553 is 8142134.