Least Common Multiple of 7521 and 7529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7521 and 7529 the smallest integer that is 56625609 that is divisible by both numbers.
Least Common Multiple (LCM) of 7521 and 7529 is 56625609.
LCM(7521,7529) = 56625609
LCM of 7521 and 7529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7521 and 7529 by Prime method
- Least Common Multiple of 7521 and 7529 with GCF Formula
LCM of 7521 and 7529 is 56625609
Least common multiple can be found by multiplying the highest exponent prime factors of 7521 and 7529. First we will calculate the prime factors of 7521 and 7529.
Prime Factorization of 7521
| 3 | 7521 |
| 23 | 2507 |
| 109 | 109 |
| 1 |
Prime factors of 7521 are 3, 23,109. Prime factorization of 7521 in exponential form is:
7521 = 31×231×1091
Prime Factorization of 7529
| 7529 | 7529 |
| 1 |
Prime factors of 7529 are 7529. Prime factorization of 7529 in exponential form is:
7529 = 75291
Now multiplying the highest exponent prime factors to calculate the LCM of 7521 and 7529.
LCM(7521,7529) = 31×231×1091×75291
LCM(7521,7529) = 56625609
Factors of 7521
List of positive integer factors of 7521 that divides 7521 without a remainder.
1, 3, 23, 69, 109, 327, 2507, 7521
Factors of 7529
List of positive integer factors of 7529 that divides 7529 without a remainder.
1, 7529
Least Common Multiple of 7521 and 7529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7521 and 7529, than apply into the LCM equation.
GCF(7521,7529) = 1
LCM(7521,7529) = ( 7521 × 7529) / 1
LCM(7521,7529) = 56625609 / 1
LCM(7521,7529) = 56625609
Properties of LCM 7521 and 7529
(i) The LCM of 7529 and 7521 is associative
LCM of 7521 and 7529 = LCM of 7529 and 7521
Related Least Common Multiples of 7521
Related Least Common Multiples of 7529
Frequently Asked Questions on LCM of 7521 and 7529
1. What is the LCM of 7521 and 7529?
Answer: LCM of 7521 and 7529 is 56625609.
2. What are the Factors of 7521?
Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.
3. What are the Factors of 7529?
Answer: Factors of 7529 are 1, 7529. There are 2 integers that are factors of 7529. The greatest factor of 7529 is 7529.
4. How to Find the LCM of 7521 and 7529?
Answer:
Least Common Multiple of 7521 and 7529 = 56625609
Step 1: Find the prime factorization of 7521
7521 = 3 x 23 x 109
Step 2: Find the prime factorization of 7529
7529 = 7529
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56625609 = 3 x 23 x 109 x 7529
Step 4: Therefore, the least common multiple of 7521 and 7529 is 56625609.