Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2631 and 2637 the smallest integer that is 2312649 that is divisible by both numbers.
Least Common Multiple (LCM) of 2631 and 2637 is 2312649.
LCM(2631,2637) = 2312649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2631 and 2637. First we will calculate the prime factors of 2631 and 2637.
Prime Factorization of 2631
3 | 2631 |
877 | 877 |
1 |
Prime factors of 2631 are 3,877. Prime factorization of 2631 in exponential form is:
2631 = 31×8771
Prime Factorization of 2637
3 | 2637 |
3 | 879 |
293 | 293 |
1 |
Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:
2637 = 32×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 2631 and 2637.
LCM(2631,2637) = 32×2931×8771
LCM(2631,2637) = 2312649
Factors of 2631
List of positive integer factors of 2631 that divides 2631 without a remainder.
1, 3, 877, 2631
Factors of 2637
List of positive integer factors of 2637 that divides 2637 without a remainder.
1, 3, 9, 293, 879, 2637
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2631 and 2637, than apply into the LCM equation.
GCF(2631,2637) = 3
LCM(2631,2637) = ( 2631 × 2637) / 3
LCM(2631,2637) = 6937947 / 3
LCM(2631,2637) = 2312649
(i) The LCM of 2637 and 2631 is associative
LCM of 2631 and 2637 = LCM of 2637 and 2631
1. What is the LCM of 2631 and 2637?
Answer: LCM of 2631 and 2637 is 2312649.
2. What are the Factors of 2631?
Answer: Factors of 2631 are 1, 3, 877, 2631. There are 4 integers that are factors of 2631. The greatest factor of 2631 is 2631.
3. What are the Factors of 2637?
Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.
4. How to Find the LCM of 2631 and 2637?
Answer:
Least Common Multiple of 2631 and 2637 = 2312649
Step 1: Find the prime factorization of 2631
2631 = 3 x 877
Step 2: Find the prime factorization of 2637
2637 = 3 x 3 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2312649 = 3 x 3 x 293 x 877
Step 4: Therefore, the least common multiple of 2631 and 2637 is 2312649.