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 8634 the smallest integer that is 37238442 that is divisible by both numbers.
Least Common Multiple (LCM) of 8626 and 8634 is 37238442.
LCM(8626,8634) = 37238442
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 8634. First we will calculate the prime factors of 8626 and 8634.
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 8634
2 | 8634 |
3 | 4317 |
1439 | 1439 |
1 |
Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:
8634 = 21×31×14391
Now multiplying the highest exponent prime factors to calculate the LCM of 8626 and 8634.
LCM(8626,8634) = 21×31×191×2271×14391
LCM(8626,8634) = 37238442
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 8634
List of positive integer factors of 8634 that divides 8634 without a remainder.
1, 2, 3, 6, 1439, 2878, 4317, 8634
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8626 and 8634, than apply into the LCM equation.
GCF(8626,8634) = 2
LCM(8626,8634) = ( 8626 × 8634) / 2
LCM(8626,8634) = 74476884 / 2
LCM(8626,8634) = 37238442
(i) The LCM of 8634 and 8626 is associative
LCM of 8626 and 8634 = LCM of 8634 and 8626
1. What is the LCM of 8626 and 8634?
Answer: LCM of 8626 and 8634 is 37238442.
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 8634?
Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.
4. How to Find the LCM of 8626 and 8634?
Answer:
Least Common Multiple of 8626 and 8634 = 37238442
Step 1: Find the prime factorization of 8626
8626 = 2 x 19 x 227
Step 2: Find the prime factorization of 8634
8634 = 2 x 3 x 1439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37238442 = 2 x 3 x 19 x 227 x 1439
Step 4: Therefore, the least common multiple of 8626 and 8634 is 37238442.