Least Common Multiple of 4667 and 4671
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4667 and 4671 the smallest integer that is 21799557 that is divisible by both numbers.
Least Common Multiple (LCM) of 4667 and 4671 is 21799557.
LCM(4667,4671) = 21799557
LCM of 4667 and 4671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4667 and 4671 by Prime method
- Least Common Multiple of 4667 and 4671 with GCF Formula
LCM of 4667 and 4671 is 21799557
Least common multiple can be found by multiplying the highest exponent prime factors of 4667 and 4671. First we will calculate the prime factors of 4667 and 4671.
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
Prime Factorization of 4671
| 3 | 4671 |
| 3 | 1557 |
| 3 | 519 |
| 173 | 173 |
| 1 |
Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:
4671 = 33×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 4667 and 4671.
LCM(4667,4671) = 33×131×1731×3591
LCM(4667,4671) = 21799557
Factors of 4667
List of positive integer factors of 4667 that divides 4667 without a remainder.
1, 13, 359, 4667
Factors of 4671
List of positive integer factors of 4671 that divides 4671 without a remainder.
1, 3, 9, 27, 173, 519, 1557, 4671
Least Common Multiple of 4667 and 4671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4667 and 4671, than apply into the LCM equation.
GCF(4667,4671) = 1
LCM(4667,4671) = ( 4667 × 4671) / 1
LCM(4667,4671) = 21799557 / 1
LCM(4667,4671) = 21799557
Properties of LCM 4667 and 4671
(i) The LCM of 4671 and 4667 is associative
LCM of 4667 and 4671 = LCM of 4671 and 4667
Related Least Common Multiples of 4667
Related Least Common Multiples of 4671
Frequently Asked Questions on LCM of 4667 and 4671
1. What is the LCM of 4667 and 4671?
Answer: LCM of 4667 and 4671 is 21799557.
2. 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.
3. What are the Factors of 4671?
Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.
4. How to Find the LCM of 4667 and 4671?
Answer:
Least Common Multiple of 4667 and 4671 = 21799557
Step 1: Find the prime factorization of 4667
4667 = 13 x 359
Step 2: Find the prime factorization of 4671
4671 = 3 x 3 x 3 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21799557 = 3 x 3 x 3 x 13 x 173 x 359
Step 4: Therefore, the least common multiple of 4667 and 4671 is 21799557.