Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6638 and 6643 the smallest integer that is 44096234 that is divisible by both numbers.
Least Common Multiple (LCM) of 6638 and 6643 is 44096234.
LCM(6638,6643) = 44096234
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 6638 and 6643. First we will calculate the prime factors of 6638 and 6643.
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
Prime Factorization of 6643
7 | 6643 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 6643 are 7, 13,73. Prime factorization of 6643 in exponential form is:
6643 = 71×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6638 and 6643.
LCM(6638,6643) = 21×71×131×731×33191
LCM(6638,6643) = 44096234
Factors of 6638
List of positive integer factors of 6638 that divides 6638 without a remainder.
1, 2, 3319, 6638
Factors of 6643
List of positive integer factors of 6643 that divides 6643 without a remainder.
1, 7, 13, 73, 91, 511, 949, 6643
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6638 and 6643, than apply into the LCM equation.
GCF(6638,6643) = 1
LCM(6638,6643) = ( 6638 × 6643) / 1
LCM(6638,6643) = 44096234 / 1
LCM(6638,6643) = 44096234
(i) The LCM of 6643 and 6638 is associative
LCM of 6638 and 6643 = LCM of 6643 and 6638
1. What is the LCM of 6638 and 6643?
Answer: LCM of 6638 and 6643 is 44096234.
2. 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.
3. What are the Factors of 6643?
Answer: Factors of 6643 are 1, 7, 13, 73, 91, 511, 949, 6643. There are 8 integers that are factors of 6643. The greatest factor of 6643 is 6643.
4. How to Find the LCM of 6638 and 6643?
Answer:
Least Common Multiple of 6638 and 6643 = 44096234
Step 1: Find the prime factorization of 6638
6638 = 2 x 3319
Step 2: Find the prime factorization of 6643
6643 = 7 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44096234 = 2 x 7 x 13 x 73 x 3319
Step 4: Therefore, the least common multiple of 6638 and 6643 is 44096234.