Least Common Multiple of 442 and 443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 442 and 443 the smallest integer that is 195806 that is divisible by both numbers.
Least Common Multiple (LCM) of 442 and 443 is 195806.
LCM(442,443) = 195806
LCM of 442 and 443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 442 and 443 by Prime method
- Least Common Multiple of 442 and 443 with GCF Formula
LCM of 442 and 443 is 195806
Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 443. First we will calculate the prime factors of 442 and 443.
Prime Factorization of 442
| 2 | 442 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:
442 = 21×131×171
Prime Factorization of 443
| 443 | 443 |
| 1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 443.
LCM(442,443) = 21×131×171×4431
LCM(442,443) = 195806
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
Least Common Multiple of 442 and 443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 443, than apply into the LCM equation.
GCF(442,443) = 1
LCM(442,443) = ( 442 × 443) / 1
LCM(442,443) = 195806 / 1
LCM(442,443) = 195806
Properties of LCM 442 and 443
(i) The LCM of 443 and 442 is associative
LCM of 442 and 443 = LCM of 443 and 442
Related Least Common Multiples of 442
Related Least Common Multiples of 443
Frequently Asked Questions on LCM of 442 and 443
1. What is the LCM of 442 and 443?
Answer: LCM of 442 and 443 is 195806.
2. What are the Factors of 442?
Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.
3. What are the Factors of 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
4. How to Find the LCM of 442 and 443?
Answer:
Least Common Multiple of 442 and 443 = 195806
Step 1: Find the prime factorization of 442
442 = 2 x 13 x 17
Step 2: Find the prime factorization of 443
443 = 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 195806 = 2 x 13 x 17 x 443
Step 4: Therefore, the least common multiple of 442 and 443 is 195806.
