Least Common Multiple of 7627 and 7631
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7627 and 7631 the smallest integer that is 58201637 that is divisible by both numbers.
Least Common Multiple (LCM) of 7627 and 7631 is 58201637.
LCM(7627,7631) = 58201637
LCM of 7627 and 7631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7627 and 7631 by Prime method
- Least Common Multiple of 7627 and 7631 with GCF Formula
LCM of 7627 and 7631 is 58201637
Least common multiple can be found by multiplying the highest exponent prime factors of 7627 and 7631. First we will calculate the prime factors of 7627 and 7631.
Prime Factorization of 7627
| 29 | 7627 |
| 263 | 263 |
| 1 |
Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:
7627 = 291×2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7627 and 7631.
LCM(7627,7631) = 131×291×2631×5871
LCM(7627,7631) = 58201637
Factors of 7627
List of positive integer factors of 7627 that divides 7627 without a remainder.
1, 29, 263, 7627
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1, 13, 587, 7631
Least Common Multiple of 7627 and 7631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7627 and 7631, than apply into the LCM equation.
GCF(7627,7631) = 1
LCM(7627,7631) = ( 7627 × 7631) / 1
LCM(7627,7631) = 58201637 / 1
LCM(7627,7631) = 58201637
Properties of LCM 7627 and 7631
(i) The LCM of 7631 and 7627 is associative
LCM of 7627 and 7631 = LCM of 7631 and 7627
Related Least Common Multiples of 7627
Related Least Common Multiples of 7631
Frequently Asked Questions on LCM of 7627 and 7631
1. What is the LCM of 7627 and 7631?
Answer: LCM of 7627 and 7631 is 58201637.
2. What are the Factors of 7627?
Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.
3. 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.
4. How to Find the LCM of 7627 and 7631?
Answer:
Least Common Multiple of 7627 and 7631 = 58201637
Step 1: Find the prime factorization of 7627
7627 = 29 x 263
Step 2: Find the prime factorization of 7631
7631 = 13 x 587
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58201637 = 13 x 29 x 263 x 587
Step 4: Therefore, the least common multiple of 7627 and 7631 is 58201637.