Least Common Multiple of 4662 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 4662 and 4667 the smallest integer that is 21757554 that is divisible by both numbers.
Least Common Multiple (LCM) of 4662 and 4667 is 21757554.
LCM(4662,4667) = 21757554
LCM of 4662 and 4667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4662 and 4667 by Prime method
- Least Common Multiple of 4662 and 4667 with GCF Formula
LCM of 4662 and 4667 is 21757554
Least common multiple can be found by multiplying the highest exponent prime factors of 4662 and 4667. First we will calculate the prime factors of 4662 and 4667.
Prime Factorization of 4662
| 2 | 4662 |
| 3 | 2331 |
| 3 | 777 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 4662 are 2, 3, 7,37. Prime factorization of 4662 in exponential form is:
4662 = 21×32×71×371
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 4662 and 4667.
LCM(4662,4667) = 21×32×71×131×371×3591
LCM(4662,4667) = 21757554
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
Factors of 4667
List of positive integer factors of 4667 that divides 4667 without a remainder.
1, 13, 359, 4667
Least Common Multiple of 4662 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 4662 and 4667, than apply into the LCM equation.
GCF(4662,4667) = 1
LCM(4662,4667) = ( 4662 × 4667) / 1
LCM(4662,4667) = 21757554 / 1
LCM(4662,4667) = 21757554
Properties of LCM 4662 and 4667
(i) The LCM of 4667 and 4662 is associative
LCM of 4662 and 4667 = LCM of 4667 and 4662
Related Least Common Multiples of 4662
Related Least Common Multiples of 4667
Frequently Asked Questions on LCM of 4662 and 4667
1. What is the LCM of 4662 and 4667?
Answer: LCM of 4662 and 4667 is 21757554.
2. What are the Factors of 4662?
Answer: Factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662. There are 24 integers that are factors of 4662. The greatest factor of 4662 is 4662.
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 4662 and 4667?
Answer:
Least Common Multiple of 4662 and 4667 = 21757554
Step 1: Find the prime factorization of 4662
4662 = 2 x 3 x 3 x 7 x 37
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 = 21757554 = 2 x 3 x 3 x 7 x 13 x 37 x 359
Step 4: Therefore, the least common multiple of 4662 and 4667 is 21757554.