Least Common Multiple of 7501 and 7505
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7501 and 7505 the smallest integer that is 56295005 that is divisible by both numbers.
Least Common Multiple (LCM) of 7501 and 7505 is 56295005.
LCM(7501,7505) = 56295005
LCM of 7501 and 7505
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7501 and 7505 by Prime method
- Least Common Multiple of 7501 and 7505 with GCF Formula
LCM of 7501 and 7505 is 56295005
Least common multiple can be found by multiplying the highest exponent prime factors of 7501 and 7505. First we will calculate the prime factors of 7501 and 7505.
Prime Factorization of 7501
| 13 | 7501 |
| 577 | 577 |
| 1 |
Prime factors of 7501 are 13,577. Prime factorization of 7501 in exponential form is:
7501 = 131×5771
Prime Factorization of 7505
| 5 | 7505 |
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 7505 are 5, 19,79. Prime factorization of 7505 in exponential form is:
7505 = 51×191×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7501 and 7505.
LCM(7501,7505) = 51×131×191×791×5771
LCM(7501,7505) = 56295005
Factors of 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1, 13, 577, 7501
Factors of 7505
List of positive integer factors of 7505 that divides 7505 without a remainder.
1, 5, 19, 79, 95, 395, 1501, 7505
Least Common Multiple of 7501 and 7505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7501 and 7505, than apply into the LCM equation.
GCF(7501,7505) = 1
LCM(7501,7505) = ( 7501 × 7505) / 1
LCM(7501,7505) = 56295005 / 1
LCM(7501,7505) = 56295005
Properties of LCM 7501 and 7505
(i) The LCM of 7505 and 7501 is associative
LCM of 7501 and 7505 = LCM of 7505 and 7501
Related Least Common Multiples of 7501
Related Least Common Multiples of 7505
Frequently Asked Questions on LCM of 7501 and 7505
1. What is the LCM of 7501 and 7505?
Answer: LCM of 7501 and 7505 is 56295005.
2. What are the Factors of 7501?
Answer: Factors of 7501 are 1, 13, 577, 7501. There are 4 integers that are factors of 7501. The greatest factor of 7501 is 7501.
3. What are the Factors of 7505?
Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.
4. How to Find the LCM of 7501 and 7505?
Answer:
Least Common Multiple of 7501 and 7505 = 56295005
Step 1: Find the prime factorization of 7501
7501 = 13 x 577
Step 2: Find the prime factorization of 7505
7505 = 5 x 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56295005 = 5 x 13 x 19 x 79 x 577
Step 4: Therefore, the least common multiple of 7501 and 7505 is 56295005.