Least Common Multiple of 7495 and 7501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7495 and 7501 the smallest integer that is 56219995 that is divisible by both numbers.
Least Common Multiple (LCM) of 7495 and 7501 is 56219995.
LCM(7495,7501) = 56219995
LCM of 7495 and 7501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7495 and 7501 by Prime method
- Least Common Multiple of 7495 and 7501 with GCF Formula
LCM of 7495 and 7501 is 56219995
Least common multiple can be found by multiplying the highest exponent prime factors of 7495 and 7501. First we will calculate the prime factors of 7495 and 7501.
Prime Factorization of 7495
| 5 | 7495 |
| 1499 | 1499 |
| 1 |
Prime factors of 7495 are 5,1499. Prime factorization of 7495 in exponential form is:
7495 = 51×14991
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7495 and 7501.
LCM(7495,7501) = 51×131×5771×14991
LCM(7495,7501) = 56219995
Factors of 7495
List of positive integer factors of 7495 that divides 7495 without a remainder.
1, 5, 1499, 7495
Factors of 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1, 13, 577, 7501
Least Common Multiple of 7495 and 7501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7495 and 7501, than apply into the LCM equation.
GCF(7495,7501) = 1
LCM(7495,7501) = ( 7495 × 7501) / 1
LCM(7495,7501) = 56219995 / 1
LCM(7495,7501) = 56219995
Properties of LCM 7495 and 7501
(i) The LCM of 7501 and 7495 is associative
LCM of 7495 and 7501 = LCM of 7501 and 7495
Related Least Common Multiples of 7495
Related Least Common Multiples of 7501
Frequently Asked Questions on LCM of 7495 and 7501
1. What is the LCM of 7495 and 7501?
Answer: LCM of 7495 and 7501 is 56219995.
2. What are the Factors of 7495?
Answer: Factors of 7495 are 1, 5, 1499, 7495. There are 4 integers that are factors of 7495. The greatest factor of 7495 is 7495.
3. 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.
4. How to Find the LCM of 7495 and 7501?
Answer:
Least Common Multiple of 7495 and 7501 = 56219995
Step 1: Find the prime factorization of 7495
7495 = 5 x 1499
Step 2: Find the prime factorization of 7501
7501 = 13 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56219995 = 5 x 13 x 577 x 1499
Step 4: Therefore, the least common multiple of 7495 and 7501 is 56219995.