Least Common Multiple of 8621 and 8626
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8621 and 8626 the smallest integer that is 74364746 that is divisible by both numbers.
Least Common Multiple (LCM) of 8621 and 8626 is 74364746.
LCM(8621,8626) = 74364746
LCM of 8621 and 8626
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8621 and 8626 by Prime method
- Least Common Multiple of 8621 and 8626 with GCF Formula
LCM of 8621 and 8626 is 74364746
Least common multiple can be found by multiplying the highest exponent prime factors of 8621 and 8626. First we will calculate the prime factors of 8621 and 8626.
Prime Factorization of 8621
| 37 | 8621 |
| 233 | 233 |
| 1 |
Prime factors of 8621 are 37,233. Prime factorization of 8621 in exponential form is:
8621 = 371×2331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8621 and 8626.
LCM(8621,8626) = 21×191×371×2271×2331
LCM(8621,8626) = 74364746
Factors of 8621
List of positive integer factors of 8621 that divides 8621 without a remainder.
1, 37, 233, 8621
Factors of 8626
List of positive integer factors of 8626 that divides 8626 without a remainder.
1, 2, 19, 38, 227, 454, 4313, 8626
Least Common Multiple of 8621 and 8626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8621 and 8626, than apply into the LCM equation.
GCF(8621,8626) = 1
LCM(8621,8626) = ( 8621 × 8626) / 1
LCM(8621,8626) = 74364746 / 1
LCM(8621,8626) = 74364746
Properties of LCM 8621 and 8626
(i) The LCM of 8626 and 8621 is associative
LCM of 8621 and 8626 = LCM of 8626 and 8621
Related Least Common Multiples of 8621
Related Least Common Multiples of 8626
Frequently Asked Questions on LCM of 8621 and 8626
1. What is the LCM of 8621 and 8626?
Answer: LCM of 8621 and 8626 is 74364746.
2. What are the Factors of 8621?
Answer: Factors of 8621 are 1, 37, 233, 8621. There are 4 integers that are factors of 8621. The greatest factor of 8621 is 8621.
3. 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.
4. How to Find the LCM of 8621 and 8626?
Answer:
Least Common Multiple of 8621 and 8626 = 74364746
Step 1: Find the prime factorization of 8621
8621 = 37 x 233
Step 2: Find the prime factorization of 8626
8626 = 2 x 19 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74364746 = 2 x 19 x 37 x 227 x 233
Step 4: Therefore, the least common multiple of 8621 and 8626 is 74364746.