Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8626 and 8631 the smallest integer that is 74451006 that is divisible by both numbers.
Least Common Multiple (LCM) of 8626 and 8631 is 74451006.
LCM(8626,8631) = 74451006
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 8626 and 8631. First we will calculate the prime factors of 8626 and 8631.
Prime Factorization of 8626
2 | 8626 |
19 | 4313 |
227 | 227 |
1 |
Prime factors of 8626 are 2, 19,227. Prime factorization of 8626 in exponential form is:
8626 = 21×191×2271
Prime Factorization of 8631
3 | 8631 |
3 | 2877 |
7 | 959 |
137 | 137 |
1 |
Prime factors of 8631 are 3, 7,137. Prime factorization of 8631 in exponential form is:
8631 = 32×71×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 8626 and 8631.
LCM(8626,8631) = 21×32×71×191×1371×2271
LCM(8626,8631) = 74451006
Factors of 8626
List of positive integer factors of 8626 that divides 8626 without a remainder.
1, 2, 19, 38, 227, 454, 4313, 8626
Factors of 8631
List of positive integer factors of 8631 that divides 8631 without a remainder.
1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8626 and 8631, than apply into the LCM equation.
GCF(8626,8631) = 1
LCM(8626,8631) = ( 8626 × 8631) / 1
LCM(8626,8631) = 74451006 / 1
LCM(8626,8631) = 74451006
(i) The LCM of 8631 and 8626 is associative
LCM of 8626 and 8631 = LCM of 8631 and 8626
1. What is the LCM of 8626 and 8631?
Answer: LCM of 8626 and 8631 is 74451006.
2. What are the Factors of 8626?
Answer: Factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626. There are 8 integers that are factors of 8626. The greatest factor of 8626 is 8626.
3. What are the Factors of 8631?
Answer: Factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631. There are 12 integers that are factors of 8631. The greatest factor of 8631 is 8631.
4. How to Find the LCM of 8626 and 8631?
Answer:
Least Common Multiple of 8626 and 8631 = 74451006
Step 1: Find the prime factorization of 8626
8626 = 2 x 19 x 227
Step 2: Find the prime factorization of 8631
8631 = 3 x 3 x 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74451006 = 2 x 3 x 3 x 7 x 19 x 137 x 227
Step 4: Therefore, the least common multiple of 8626 and 8631 is 74451006.