Least Common Multiple of 4653 and 4661
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4653 and 4661 the smallest integer that is 21687633 that is divisible by both numbers.
Least Common Multiple (LCM) of 4653 and 4661 is 21687633.
LCM(4653,4661) = 21687633
LCM of 4653 and 4661
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4653 and 4661 by Prime method
- Least Common Multiple of 4653 and 4661 with GCF Formula
LCM of 4653 and 4661 is 21687633
Least common multiple can be found by multiplying the highest exponent prime factors of 4653 and 4661. First we will calculate the prime factors of 4653 and 4661.
Prime Factorization of 4653
| 3 | 4653 |
| 3 | 1551 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 4653 are 3, 11,47. Prime factorization of 4653 in exponential form is:
4653 = 32×111×471
Prime Factorization of 4661
| 59 | 4661 |
| 79 | 79 |
| 1 |
Prime factors of 4661 are 59,79. Prime factorization of 4661 in exponential form is:
4661 = 591×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4653 and 4661.
LCM(4653,4661) = 32×111×471×591×791
LCM(4653,4661) = 21687633
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653
Factors of 4661
List of positive integer factors of 4661 that divides 4661 without a remainder.
1, 59, 79, 4661
Least Common Multiple of 4653 and 4661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4653 and 4661, than apply into the LCM equation.
GCF(4653,4661) = 1
LCM(4653,4661) = ( 4653 × 4661) / 1
LCM(4653,4661) = 21687633 / 1
LCM(4653,4661) = 21687633
Properties of LCM 4653 and 4661
(i) The LCM of 4661 and 4653 is associative
LCM of 4653 and 4661 = LCM of 4661 and 4653
Related Least Common Multiples of 4653
Related Least Common Multiples of 4661
Frequently Asked Questions on LCM of 4653 and 4661
1. What is the LCM of 4653 and 4661?
Answer: LCM of 4653 and 4661 is 21687633.
2. What are the Factors of 4653?
Answer: Factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653. There are 12 integers that are factors of 4653. The greatest factor of 4653 is 4653.
3. What are the Factors of 4661?
Answer: Factors of 4661 are 1, 59, 79, 4661. There are 4 integers that are factors of 4661. The greatest factor of 4661 is 4661.
4. How to Find the LCM of 4653 and 4661?
Answer:
Least Common Multiple of 4653 and 4661 = 21687633
Step 1: Find the prime factorization of 4653
4653 = 3 x 3 x 11 x 47
Step 2: Find the prime factorization of 4661
4661 = 59 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21687633 = 3 x 3 x 11 x 47 x 59 x 79
Step 4: Therefore, the least common multiple of 4653 and 4661 is 21687633.