Least Common Multiple of 4661 and 4667
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 4667 the smallest integer that is 21752887 that is divisible by both numbers.
Least Common Multiple (LCM) of 4661 and 4667 is 21752887.
LCM(4661,4667) = 21752887
LCM of 4661 and 4667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4661 and 4667 by Prime method
- Least Common Multiple of 4661 and 4667 with GCF Formula
LCM of 4661 and 4667 is 21752887
Least common multiple can be found by multiplying the highest exponent prime factors of 4661 and 4667. First we will calculate the prime factors of 4661 and 4667.
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 4667
| 13 | 4667 |
| 359 | 359 |
| 1 |
Prime factors of 4667 are 13,359. Prime factorization of 4667 in exponential form is:
4667 = 131×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 4661 and 4667.
LCM(4661,4667) = 131×591×791×3591
LCM(4661,4667) = 21752887
Factors of 4661
List of positive integer factors of 4661 that divides 4661 without a remainder.
1, 59, 79, 4661
Factors of 4667
List of positive integer factors of 4667 that divides 4667 without a remainder.
1, 13, 359, 4667
Least Common Multiple of 4661 and 4667 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 4667, than apply into the LCM equation.
GCF(4661,4667) = 1
LCM(4661,4667) = ( 4661 × 4667) / 1
LCM(4661,4667) = 21752887 / 1
LCM(4661,4667) = 21752887
Properties of LCM 4661 and 4667
(i) The LCM of 4667 and 4661 is associative
LCM of 4661 and 4667 = LCM of 4667 and 4661
Related Least Common Multiples of 4661
Related Least Common Multiples of 4667
Frequently Asked Questions on LCM of 4661 and 4667
1. What is the LCM of 4661 and 4667?
Answer: LCM of 4661 and 4667 is 21752887.
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 4667?
Answer: Factors of 4667 are 1, 13, 359, 4667. There are 4 integers that are factors of 4667. The greatest factor of 4667 is 4667.
4. How to Find the LCM of 4661 and 4667?
Answer:
Least Common Multiple of 4661 and 4667 = 21752887
Step 1: Find the prime factorization of 4661
4661 = 59 x 79
Step 2: Find the prime factorization of 4667
4667 = 13 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21752887 = 13 x 59 x 79 x 359
Step 4: Therefore, the least common multiple of 4661 and 4667 is 21752887.