Least Common Multiple of 7519 and 7525
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7519 and 7525 the smallest integer that is 56580475 that is divisible by both numbers.
Least Common Multiple (LCM) of 7519 and 7525 is 56580475.
LCM(7519,7525) = 56580475
LCM of 7519 and 7525
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7519 and 7525 by Prime method
- Least Common Multiple of 7519 and 7525 with GCF Formula
LCM of 7519 and 7525 is 56580475
Least common multiple can be found by multiplying the highest exponent prime factors of 7519 and 7525. First we will calculate the prime factors of 7519 and 7525.
Prime Factorization of 7519
| 73 | 7519 |
| 103 | 103 |
| 1 |
Prime factors of 7519 are 73,103. Prime factorization of 7519 in exponential form is:
7519 = 731×1031
Prime Factorization of 7525
| 5 | 7525 |
| 5 | 1505 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 7525 are 5, 7,43. Prime factorization of 7525 in exponential form is:
7525 = 52×71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 7519 and 7525.
LCM(7519,7525) = 52×71×431×731×1031
LCM(7519,7525) = 56580475
Factors of 7519
List of positive integer factors of 7519 that divides 7519 without a remainder.
1, 73, 103, 7519
Factors of 7525
List of positive integer factors of 7525 that divides 7525 without a remainder.
1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
Least Common Multiple of 7519 and 7525 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7519 and 7525, than apply into the LCM equation.
GCF(7519,7525) = 1
LCM(7519,7525) = ( 7519 × 7525) / 1
LCM(7519,7525) = 56580475 / 1
LCM(7519,7525) = 56580475
Properties of LCM 7519 and 7525
(i) The LCM of 7525 and 7519 is associative
LCM of 7519 and 7525 = LCM of 7525 and 7519
Related Least Common Multiples of 7519
Related Least Common Multiples of 7525
Frequently Asked Questions on LCM of 7519 and 7525
1. What is the LCM of 7519 and 7525?
Answer: LCM of 7519 and 7525 is 56580475.
2. What are the Factors of 7519?
Answer: Factors of 7519 are 1, 73, 103, 7519. There are 4 integers that are factors of 7519. The greatest factor of 7519 is 7519.
3. What are the Factors of 7525?
Answer: Factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525. There are 12 integers that are factors of 7525. The greatest factor of 7525 is 7525.
4. How to Find the LCM of 7519 and 7525?
Answer:
Least Common Multiple of 7519 and 7525 = 56580475
Step 1: Find the prime factorization of 7519
7519 = 73 x 103
Step 2: Find the prime factorization of 7525
7525 = 5 x 5 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56580475 = 5 x 5 x 7 x 43 x 73 x 103
Step 4: Therefore, the least common multiple of 7519 and 7525 is 56580475.