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 2638 the smallest integer that is 6940578 that is divisible by both numbers.
Least Common Multiple (LCM) of 2631 and 2638 is 6940578.
LCM(2631,2638) = 6940578
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 2638. First we will calculate the prime factors of 2631 and 2638.
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 2638
2 | 2638 |
1319 | 1319 |
1 |
Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:
2638 = 21×13191
Now multiplying the highest exponent prime factors to calculate the LCM of 2631 and 2638.
LCM(2631,2638) = 21×31×8771×13191
LCM(2631,2638) = 6940578
Factors of 2631
List of positive integer factors of 2631 that divides 2631 without a remainder.
1, 3, 877, 2631
Factors of 2638
List of positive integer factors of 2638 that divides 2638 without a remainder.
1, 2, 1319, 2638
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2631 and 2638, than apply into the LCM equation.
GCF(2631,2638) = 1
LCM(2631,2638) = ( 2631 × 2638) / 1
LCM(2631,2638) = 6940578 / 1
LCM(2631,2638) = 6940578
(i) The LCM of 2638 and 2631 is associative
LCM of 2631 and 2638 = LCM of 2638 and 2631
1. What is the LCM of 2631 and 2638?
Answer: LCM of 2631 and 2638 is 6940578.
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 2638?
Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.
4. How to Find the LCM of 2631 and 2638?
Answer:
Least Common Multiple of 2631 and 2638 = 6940578
Step 1: Find the prime factorization of 2631
2631 = 3 x 877
Step 2: Find the prime factorization of 2638
2638 = 2 x 1319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6940578 = 2 x 3 x 877 x 1319
Step 4: Therefore, the least common multiple of 2631 and 2638 is 6940578.