Least Common Multiple of 7631 and 7637
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7631 and 7637 the smallest integer that is 58277947 that is divisible by both numbers.
Least Common Multiple (LCM) of 7631 and 7637 is 58277947.
LCM(7631,7637) = 58277947
LCM of 7631 and 7637
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7631 and 7637 by Prime method
- Least Common Multiple of 7631 and 7637 with GCF Formula
LCM of 7631 and 7637 is 58277947
Least common multiple can be found by multiplying the highest exponent prime factors of 7631 and 7637. First we will calculate the prime factors of 7631 and 7637.
Prime Factorization of 7631
| 13 | 7631 |
| 587 | 587 |
| 1 |
Prime factors of 7631 are 13,587. Prime factorization of 7631 in exponential form is:
7631 = 131×5871
Prime Factorization of 7637
| 7 | 7637 |
| 1091 | 1091 |
| 1 |
Prime factors of 7637 are 7,1091. Prime factorization of 7637 in exponential form is:
7637 = 71×10911
Now multiplying the highest exponent prime factors to calculate the LCM of 7631 and 7637.
LCM(7631,7637) = 71×131×5871×10911
LCM(7631,7637) = 58277947
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1, 13, 587, 7631
Factors of 7637
List of positive integer factors of 7637 that divides 7637 without a remainder.
1, 7, 1091, 7637
Least Common Multiple of 7631 and 7637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7631 and 7637, than apply into the LCM equation.
GCF(7631,7637) = 1
LCM(7631,7637) = ( 7631 × 7637) / 1
LCM(7631,7637) = 58277947 / 1
LCM(7631,7637) = 58277947
Properties of LCM 7631 and 7637
(i) The LCM of 7637 and 7631 is associative
LCM of 7631 and 7637 = LCM of 7637 and 7631
Related Least Common Multiples of 7631
Related Least Common Multiples of 7637
Frequently Asked Questions on LCM of 7631 and 7637
1. What is the LCM of 7631 and 7637?
Answer: LCM of 7631 and 7637 is 58277947.
2. What are the Factors of 7631?
Answer: Factors of 7631 are 1, 13, 587, 7631. There are 4 integers that are factors of 7631. The greatest factor of 7631 is 7631.
3. What are the Factors of 7637?
Answer: Factors of 7637 are 1, 7, 1091, 7637. There are 4 integers that are factors of 7637. The greatest factor of 7637 is 7637.
4. How to Find the LCM of 7631 and 7637?
Answer:
Least Common Multiple of 7631 and 7637 = 58277947
Step 1: Find the prime factorization of 7631
7631 = 13 x 587
Step 2: Find the prime factorization of 7637
7637 = 7 x 1091
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58277947 = 7 x 13 x 587 x 1091
Step 4: Therefore, the least common multiple of 7631 and 7637 is 58277947.