Least Common Multiple of 7631 and 7635
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 7635 the smallest integer that is 58262685 that is divisible by both numbers.
Least Common Multiple (LCM) of 7631 and 7635 is 58262685.
LCM(7631,7635) = 58262685
LCM of 7631 and 7635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7631 and 7635 by Prime method
- Least Common Multiple of 7631 and 7635 with GCF Formula
LCM of 7631 and 7635 is 58262685
Least common multiple can be found by multiplying the highest exponent prime factors of 7631 and 7635. First we will calculate the prime factors of 7631 and 7635.
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 7635
| 3 | 7635 |
| 5 | 2545 |
| 509 | 509 |
| 1 |
Prime factors of 7635 are 3, 5,509. Prime factorization of 7635 in exponential form is:
7635 = 31×51×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 7631 and 7635.
LCM(7631,7635) = 31×51×131×5091×5871
LCM(7631,7635) = 58262685
Factors of 7631
List of positive integer factors of 7631 that divides 7631 without a remainder.
1, 13, 587, 7631
Factors of 7635
List of positive integer factors of 7635 that divides 7635 without a remainder.
1, 3, 5, 15, 509, 1527, 2545, 7635
Least Common Multiple of 7631 and 7635 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 7635, than apply into the LCM equation.
GCF(7631,7635) = 1
LCM(7631,7635) = ( 7631 × 7635) / 1
LCM(7631,7635) = 58262685 / 1
LCM(7631,7635) = 58262685
Properties of LCM 7631 and 7635
(i) The LCM of 7635 and 7631 is associative
LCM of 7631 and 7635 = LCM of 7635 and 7631
Related Least Common Multiples of 7631
Related Least Common Multiples of 7635
Frequently Asked Questions on LCM of 7631 and 7635
1. What is the LCM of 7631 and 7635?
Answer: LCM of 7631 and 7635 is 58262685.
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 7635?
Answer: Factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635. There are 8 integers that are factors of 7635. The greatest factor of 7635 is 7635.
4. How to Find the LCM of 7631 and 7635?
Answer:
Least Common Multiple of 7631 and 7635 = 58262685
Step 1: Find the prime factorization of 7631
7631 = 13 x 587
Step 2: Find the prime factorization of 7635
7635 = 3 x 5 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58262685 = 3 x 5 x 13 x 509 x 587
Step 4: Therefore, the least common multiple of 7631 and 7635 is 58262685.