Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6631 and 6638 the smallest integer that is 44016578 that is divisible by both numbers.
Least Common Multiple (LCM) of 6631 and 6638 is 44016578.
LCM(6631,6638) = 44016578
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 6631 and 6638. First we will calculate the prime factors of 6631 and 6638.
Prime Factorization of 6631
19 | 6631 |
349 | 349 |
1 |
Prime factors of 6631 are 19,349. Prime factorization of 6631 in exponential form is:
6631 = 191×3491
Prime Factorization of 6638
2 | 6638 |
3319 | 3319 |
1 |
Prime factors of 6638 are 2,3319. Prime factorization of 6638 in exponential form is:
6638 = 21×33191
Now multiplying the highest exponent prime factors to calculate the LCM of 6631 and 6638.
LCM(6631,6638) = 21×191×3491×33191
LCM(6631,6638) = 44016578
Factors of 6631
List of positive integer factors of 6631 that divides 6631 without a remainder.
1, 19, 349, 6631
Factors of 6638
List of positive integer factors of 6638 that divides 6638 without a remainder.
1, 2, 3319, 6638
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6631 and 6638, than apply into the LCM equation.
GCF(6631,6638) = 1
LCM(6631,6638) = ( 6631 × 6638) / 1
LCM(6631,6638) = 44016578 / 1
LCM(6631,6638) = 44016578
(i) The LCM of 6638 and 6631 is associative
LCM of 6631 and 6638 = LCM of 6638 and 6631
1. What is the LCM of 6631 and 6638?
Answer: LCM of 6631 and 6638 is 44016578.
2. What are the Factors of 6631?
Answer: Factors of 6631 are 1, 19, 349, 6631. There are 4 integers that are factors of 6631. The greatest factor of 6631 is 6631.
3. What are the Factors of 6638?
Answer: Factors of 6638 are 1, 2, 3319, 6638. There are 4 integers that are factors of 6638. The greatest factor of 6638 is 6638.
4. How to Find the LCM of 6631 and 6638?
Answer:
Least Common Multiple of 6631 and 6638 = 44016578
Step 1: Find the prime factorization of 6631
6631 = 19 x 349
Step 2: Find the prime factorization of 6638
6638 = 2 x 3319
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44016578 = 2 x 19 x 349 x 3319
Step 4: Therefore, the least common multiple of 6631 and 6638 is 44016578.