Least Common Multiple of 4661 and 4669
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 4669 the smallest integer that is 21762209 that is divisible by both numbers.
Least Common Multiple (LCM) of 4661 and 4669 is 21762209.
LCM(4661,4669) = 21762209
LCM of 4661 and 4669
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4661 and 4669 by Prime method
- Least Common Multiple of 4661 and 4669 with GCF Formula
LCM of 4661 and 4669 is 21762209
Least common multiple can be found by multiplying the highest exponent prime factors of 4661 and 4669. First we will calculate the prime factors of 4661 and 4669.
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 4669
| 7 | 4669 |
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:
4669 = 71×231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 4661 and 4669.
LCM(4661,4669) = 71×231×291×591×791
LCM(4661,4669) = 21762209
Factors of 4661
List of positive integer factors of 4661 that divides 4661 without a remainder.
1, 59, 79, 4661
Factors of 4669
List of positive integer factors of 4669 that divides 4669 without a remainder.
1, 7, 23, 29, 161, 203, 667, 4669
Least Common Multiple of 4661 and 4669 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 4669, than apply into the LCM equation.
GCF(4661,4669) = 1
LCM(4661,4669) = ( 4661 × 4669) / 1
LCM(4661,4669) = 21762209 / 1
LCM(4661,4669) = 21762209
Properties of LCM 4661 and 4669
(i) The LCM of 4669 and 4661 is associative
LCM of 4661 and 4669 = LCM of 4669 and 4661
Related Least Common Multiples of 4661
Related Least Common Multiples of 4669
Frequently Asked Questions on LCM of 4661 and 4669
1. What is the LCM of 4661 and 4669?
Answer: LCM of 4661 and 4669 is 21762209.
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 4669?
Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.
4. How to Find the LCM of 4661 and 4669?
Answer:
Least Common Multiple of 4661 and 4669 = 21762209
Step 1: Find the prime factorization of 4661
4661 = 59 x 79
Step 2: Find the prime factorization of 4669
4669 = 7 x 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21762209 = 7 x 23 x 29 x 59 x 79
Step 4: Therefore, the least common multiple of 4661 and 4669 is 21762209.