Least Common Multiple of 4411 and 4418
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4411 and 4418 the smallest integer that is 19487798 that is divisible by both numbers.
Least Common Multiple (LCM) of 4411 and 4418 is 19487798.
LCM(4411,4418) = 19487798
LCM of 4411 and 4418
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4411 and 4418 by Prime method
- Least Common Multiple of 4411 and 4418 with GCF Formula
LCM of 4411 and 4418 is 19487798
Least common multiple can be found by multiplying the highest exponent prime factors of 4411 and 4418. First we will calculate the prime factors of 4411 and 4418.
Prime Factorization of 4411
| 11 | 4411 |
| 401 | 401 |
| 1 |
Prime factors of 4411 are 11,401. Prime factorization of 4411 in exponential form is:
4411 = 111×4011
Prime Factorization of 4418
| 2 | 4418 |
| 47 | 2209 |
| 47 | 47 |
| 1 |
Prime factors of 4418 are 2,47. Prime factorization of 4418 in exponential form is:
4418 = 21×472
Now multiplying the highest exponent prime factors to calculate the LCM of 4411 and 4418.
LCM(4411,4418) = 21×111×472×4011
LCM(4411,4418) = 19487798
Factors of 4411
List of positive integer factors of 4411 that divides 4411 without a remainder.
1, 11, 401, 4411
Factors of 4418
List of positive integer factors of 4418 that divides 4418 without a remainder.
1, 2, 47, 94, 2209, 4418
Least Common Multiple of 4411 and 4418 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4411 and 4418, than apply into the LCM equation.
GCF(4411,4418) = 1
LCM(4411,4418) = ( 4411 × 4418) / 1
LCM(4411,4418) = 19487798 / 1
LCM(4411,4418) = 19487798
Properties of LCM 4411 and 4418
(i) The LCM of 4418 and 4411 is associative
LCM of 4411 and 4418 = LCM of 4418 and 4411
Related Least Common Multiples of 4411
Related Least Common Multiples of 4418
Frequently Asked Questions on LCM of 4411 and 4418
1. What is the LCM of 4411 and 4418?
Answer: LCM of 4411 and 4418 is 19487798.
2. What are the Factors of 4411?
Answer: Factors of 4411 are 1, 11, 401, 4411. There are 4 integers that are factors of 4411. The greatest factor of 4411 is 4411.
3. What are the Factors of 4418?
Answer: Factors of 4418 are 1, 2, 47, 94, 2209, 4418. There are 6 integers that are factors of 4418. The greatest factor of 4418 is 4418.
4. How to Find the LCM of 4411 and 4418?
Answer:
Least Common Multiple of 4411 and 4418 = 19487798
Step 1: Find the prime factorization of 4411
4411 = 11 x 401
Step 2: Find the prime factorization of 4418
4418 = 2 x 47 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19487798 = 2 x 11 x 47 x 47 x 401
Step 4: Therefore, the least common multiple of 4411 and 4418 is 19487798.