Least Common Multiple of 442 and 449
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 449 the smallest integer that is 198458 that is divisible by both numbers.
Least Common Multiple (LCM) of 442 and 449 is 198458.
LCM(442,449) = 198458
LCM of 442 and 449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 442 and 449 by Prime method
- Least Common Multiple of 442 and 449 with GCF Formula
LCM of 442 and 449 is 198458
Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 449. First we will calculate the prime factors of 442 and 449.
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 449
| 449 | 449 |
| 1 |
Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:
449 = 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 449.
LCM(442,449) = 21×131×171×4491
LCM(442,449) = 198458
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 449
List of positive integer factors of 449 that divides 449 without a remainder.
1, 449
Least Common Multiple of 442 and 449 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 449, than apply into the LCM equation.
GCF(442,449) = 1
LCM(442,449) = ( 442 × 449) / 1
LCM(442,449) = 198458 / 1
LCM(442,449) = 198458
Properties of LCM 442 and 449
(i) The LCM of 449 and 442 is associative
LCM of 442 and 449 = LCM of 449 and 442
Related Least Common Multiples of 442
Related Least Common Multiples of 449
Frequently Asked Questions on LCM of 442 and 449
1. What is the LCM of 442 and 449?
Answer: LCM of 442 and 449 is 198458.
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 449?
Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.
4. How to Find the LCM of 442 and 449?
Answer:
Least Common Multiple of 442 and 449 = 198458
Step 1: Find the prime factorization of 442
442 = 2 x 13 x 17
Step 2: Find the prime factorization of 449
449 = 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 198458 = 2 x 13 x 17 x 449
Step 4: Therefore, the least common multiple of 442 and 449 is 198458.
