Least Common Multiple of 4633 and 4641
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4633 and 4641 the smallest integer that is 21501753 that is divisible by both numbers.
Least Common Multiple (LCM) of 4633 and 4641 is 21501753.
LCM(4633,4641) = 21501753
LCM of 4633 and 4641
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4633 and 4641 by Prime method
- Least Common Multiple of 4633 and 4641 with GCF Formula
LCM of 4633 and 4641 is 21501753
Least common multiple can be found by multiplying the highest exponent prime factors of 4633 and 4641. First we will calculate the prime factors of 4633 and 4641.
Prime Factorization of 4633
| 41 | 4633 |
| 113 | 113 |
| 1 |
Prime factors of 4633 are 41,113. Prime factorization of 4633 in exponential form is:
4633 = 411×1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4633 and 4641.
LCM(4633,4641) = 31×71×131×171×411×1131
LCM(4633,4641) = 21501753
Factors of 4633
List of positive integer factors of 4633 that divides 4633 without a remainder.
1, 41, 113, 4633
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
Least Common Multiple of 4633 and 4641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4633 and 4641, than apply into the LCM equation.
GCF(4633,4641) = 1
LCM(4633,4641) = ( 4633 × 4641) / 1
LCM(4633,4641) = 21501753 / 1
LCM(4633,4641) = 21501753
Properties of LCM 4633 and 4641
(i) The LCM of 4641 and 4633 is associative
LCM of 4633 and 4641 = LCM of 4641 and 4633
Related Least Common Multiples of 4633
Related Least Common Multiples of 4641
Frequently Asked Questions on LCM of 4633 and 4641
1. What is the LCM of 4633 and 4641?
Answer: LCM of 4633 and 4641 is 21501753.
2. What are the Factors of 4633?
Answer: Factors of 4633 are 1, 41, 113, 4633. There are 4 integers that are factors of 4633. The greatest factor of 4633 is 4633.
3. 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.
4. How to Find the LCM of 4633 and 4641?
Answer:
Least Common Multiple of 4633 and 4641 = 21501753
Step 1: Find the prime factorization of 4633
4633 = 41 x 113
Step 2: Find the prime factorization of 4641
4641 = 3 x 7 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21501753 = 3 x 7 x 13 x 17 x 41 x 113
Step 4: Therefore, the least common multiple of 4633 and 4641 is 21501753.