Least Common Multiple of 4641 and 4645
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4641 and 4645 the smallest integer that is 21557445 that is divisible by both numbers.
Least Common Multiple (LCM) of 4641 and 4645 is 21557445.
LCM(4641,4645) = 21557445
LCM of 4641 and 4645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4641 and 4645 by Prime method
- Least Common Multiple of 4641 and 4645 with GCF Formula
LCM of 4641 and 4645 is 21557445
Least common multiple can be found by multiplying the highest exponent prime factors of 4641 and 4645. First we will calculate the prime factors of 4641 and 4645.
Prime Factorization of 4641
| 3 | 4641 |
| 7 | 1547 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 4641 are 3, 7, 13,17. Prime factorization of 4641 in exponential form is:
4641 = 31×71×131×171
Prime Factorization of 4645
| 5 | 4645 |
| 929 | 929 |
| 1 |
Prime factors of 4645 are 5,929. Prime factorization of 4645 in exponential form is:
4645 = 51×9291
Now multiplying the highest exponent prime factors to calculate the LCM of 4641 and 4645.
LCM(4641,4645) = 31×51×71×131×171×9291
LCM(4641,4645) = 21557445
Factors of 4641
List of positive integer factors of 4641 that divides 4641 without a remainder.
1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
Factors of 4645
List of positive integer factors of 4645 that divides 4645 without a remainder.
1, 5, 929, 4645
Least Common Multiple of 4641 and 4645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4641 and 4645, than apply into the LCM equation.
GCF(4641,4645) = 1
LCM(4641,4645) = ( 4641 × 4645) / 1
LCM(4641,4645) = 21557445 / 1
LCM(4641,4645) = 21557445
Properties of LCM 4641 and 4645
(i) The LCM of 4645 and 4641 is associative
LCM of 4641 and 4645 = LCM of 4645 and 4641
Related Least Common Multiples of 4641
Related Least Common Multiples of 4645
Frequently Asked Questions on LCM of 4641 and 4645
1. What is the LCM of 4641 and 4645?
Answer: LCM of 4641 and 4645 is 21557445.
2. What are the Factors of 4641?
Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.
3. What are the Factors of 4645?
Answer: Factors of 4645 are 1, 5, 929, 4645. There are 4 integers that are factors of 4645. The greatest factor of 4645 is 4645.
4. How to Find the LCM of 4641 and 4645?
Answer:
Least Common Multiple of 4641 and 4645 = 21557445
Step 1: Find the prime factorization of 4641
4641 = 3 x 7 x 13 x 17
Step 2: Find the prime factorization of 4645
4645 = 5 x 929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21557445 = 3 x 5 x 7 x 13 x 17 x 929
Step 4: Therefore, the least common multiple of 4641 and 4645 is 21557445.