Least Common Multiple of 7631 and 7638
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 7638 the smallest integer that is 58285578 that is divisible by both numbers.
Least Common Multiple (LCM) of 7631 and 7638 is 58285578.
LCM(7631,7638) = 58285578
LCM of 7631 and 7638
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7631 and 7638 by Prime method
- Least Common Multiple of 7631 and 7638 with GCF Formula
LCM of 7631 and 7638 is 58285578
Least common multiple can be found by multiplying the highest exponent prime factors of 7631 and 7638. First we will calculate the prime factors of 7631 and 7638.
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 7638
| 2 | 7638 |
| 3 | 3819 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 7638 are 2, 3, 19,67. Prime factorization of 7638 in exponential form is:
7638 = 21×31×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7631 and 7638.
LCM(7631,7638) = 21×31×131×191×671×5871
LCM(7631,7638) = 58285578
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1, 13, 587, 7631
Factors of 7638
List of positive integer factors of 7638 that divides 7638 without a remainder.
1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638
Least Common Multiple of 7631 and 7638 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 7638, than apply into the LCM equation.
GCF(7631,7638) = 1
LCM(7631,7638) = ( 7631 × 7638) / 1
LCM(7631,7638) = 58285578 / 1
LCM(7631,7638) = 58285578
Properties of LCM 7631 and 7638
(i) The LCM of 7638 and 7631 is associative
LCM of 7631 and 7638 = LCM of 7638 and 7631
Related Least Common Multiples of 7631
Related Least Common Multiples of 7638
Frequently Asked Questions on LCM of 7631 and 7638
1. What is the LCM of 7631 and 7638?
Answer: LCM of 7631 and 7638 is 58285578.
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 7638?
Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.
4. How to Find the LCM of 7631 and 7638?
Answer:
Least Common Multiple of 7631 and 7638 = 58285578
Step 1: Find the prime factorization of 7631
7631 = 13 x 587
Step 2: Find the prime factorization of 7638
7638 = 2 x 3 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58285578 = 2 x 3 x 13 x 19 x 67 x 587
Step 4: Therefore, the least common multiple of 7631 and 7638 is 58285578.