Least Common Multiple of 4661 and 4665
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4661 and 4665 the smallest integer that is 21743565 that is divisible by both numbers.
Least Common Multiple (LCM) of 4661 and 4665 is 21743565.
LCM(4661,4665) = 21743565
LCM of 4661 and 4665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4661 and 4665 by Prime method
- Least Common Multiple of 4661 and 4665 with GCF Formula
LCM of 4661 and 4665 is 21743565
Least common multiple can be found by multiplying the highest exponent prime factors of 4661 and 4665. First we will calculate the prime factors of 4661 and 4665.
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
Prime Factorization of 4665
| 3 | 4665 |
| 5 | 1555 |
| 311 | 311 |
| 1 |
Prime factors of 4665 are 3, 5,311. Prime factorization of 4665 in exponential form is:
4665 = 31×51×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 4661 and 4665.
LCM(4661,4665) = 31×51×591×791×3111
LCM(4661,4665) = 21743565
Factors of 4661
List of positive integer factors of 4661 that divides 4661 without a remainder.
1, 59, 79, 4661
Factors of 4665
List of positive integer factors of 4665 that divides 4665 without a remainder.
1, 3, 5, 15, 311, 933, 1555, 4665
Least Common Multiple of 4661 and 4665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4661 and 4665, than apply into the LCM equation.
GCF(4661,4665) = 1
LCM(4661,4665) = ( 4661 × 4665) / 1
LCM(4661,4665) = 21743565 / 1
LCM(4661,4665) = 21743565
Properties of LCM 4661 and 4665
(i) The LCM of 4665 and 4661 is associative
LCM of 4661 and 4665 = LCM of 4665 and 4661
Related Least Common Multiples of 4661
Related Least Common Multiples of 4665
Frequently Asked Questions on LCM of 4661 and 4665
1. What is the LCM of 4661 and 4665?
Answer: LCM of 4661 and 4665 is 21743565.
2. 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.
3. What are the Factors of 4665?
Answer: Factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665. There are 8 integers that are factors of 4665. The greatest factor of 4665 is 4665.
4. How to Find the LCM of 4661 and 4665?
Answer:
Least Common Multiple of 4661 and 4665 = 21743565
Step 1: Find the prime factorization of 4661
4661 = 59 x 79
Step 2: Find the prime factorization of 4665
4665 = 3 x 5 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21743565 = 3 x 5 x 59 x 79 x 311
Step 4: Therefore, the least common multiple of 4661 and 4665 is 21743565.