Least Common Multiple of 7549 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 7549 and 7553 the smallest integer that is 57017597 that is divisible by both numbers.
Least Common Multiple (LCM) of 7549 and 7553 is 57017597.
LCM(7549,7553) = 57017597
LCM of 7549 and 7553
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7549 and 7553 by Prime method
- Least Common Multiple of 7549 and 7553 with GCF Formula
LCM of 7549 and 7553 is 57017597
Least common multiple can be found by multiplying the highest exponent prime factors of 7549 and 7553. First we will calculate the prime factors of 7549 and 7553.
Prime Factorization of 7549
| 7549 | 7549 |
| 1 |
Prime factors of 7549 are 7549. Prime factorization of 7549 in exponential form is:
7549 = 75491
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 7549 and 7553.
LCM(7549,7553) = 71×131×831×75491
LCM(7549,7553) = 57017597
Factors of 7549
List of positive integer factors of 7549 that divides 7549 without a remainder.
1, 7549
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 7549 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 7549 and 7553, than apply into the LCM equation.
GCF(7549,7553) = 1
LCM(7549,7553) = ( 7549 × 7553) / 1
LCM(7549,7553) = 57017597 / 1
LCM(7549,7553) = 57017597
Properties of LCM 7549 and 7553
(i) The LCM of 7553 and 7549 is associative
LCM of 7549 and 7553 = LCM of 7553 and 7549
Related Least Common Multiples of 7549
Related Least Common Multiples of 7553
Frequently Asked Questions on LCM of 7549 and 7553
1. What is the LCM of 7549 and 7553?
Answer: LCM of 7549 and 7553 is 57017597.
2. What are the Factors of 7549?
Answer: Factors of 7549 are 1, 7549. There are 2 integers that are factors of 7549. The greatest factor of 7549 is 7549.
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 7549 and 7553?
Answer:
Least Common Multiple of 7549 and 7553 = 57017597
Step 1: Find the prime factorization of 7549
7549 = 7549
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 = 57017597 = 7 x 13 x 83 x 7549
Step 4: Therefore, the least common multiple of 7549 and 7553 is 57017597.