Least Common Multiple of 4407 and 4411
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4407 and 4411 the smallest integer that is 19439277 that is divisible by both numbers.
Least Common Multiple (LCM) of 4407 and 4411 is 19439277.
LCM(4407,4411) = 19439277
LCM of 4407 and 4411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4407 and 4411 by Prime method
- Least Common Multiple of 4407 and 4411 with GCF Formula
LCM of 4407 and 4411 is 19439277
Least common multiple can be found by multiplying the highest exponent prime factors of 4407 and 4411. First we will calculate the prime factors of 4407 and 4411.
Prime Factorization of 4407
| 3 | 4407 |
| 13 | 1469 |
| 113 | 113 |
| 1 |
Prime factors of 4407 are 3, 13,113. Prime factorization of 4407 in exponential form is:
4407 = 31×131×1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4407 and 4411.
LCM(4407,4411) = 31×111×131×1131×4011
LCM(4407,4411) = 19439277
Factors of 4407
List of positive integer factors of 4407 that divides 4407 without a remainder.
1, 3, 13, 39, 113, 339, 1469, 4407
Factors of 4411
List of positive integer factors of 4411 that divides 4411 without a remainder.
1, 11, 401, 4411
Least Common Multiple of 4407 and 4411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4407 and 4411, than apply into the LCM equation.
GCF(4407,4411) = 1
LCM(4407,4411) = ( 4407 × 4411) / 1
LCM(4407,4411) = 19439277 / 1
LCM(4407,4411) = 19439277
Properties of LCM 4407 and 4411
(i) The LCM of 4411 and 4407 is associative
LCM of 4407 and 4411 = LCM of 4411 and 4407
Related Least Common Multiples of 4407
Related Least Common Multiples of 4411
Frequently Asked Questions on LCM of 4407 and 4411
1. What is the LCM of 4407 and 4411?
Answer: LCM of 4407 and 4411 is 19439277.
2. What are the Factors of 4407?
Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.
3. 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.
4. How to Find the LCM of 4407 and 4411?
Answer:
Least Common Multiple of 4407 and 4411 = 19439277
Step 1: Find the prime factorization of 4407
4407 = 3 x 13 x 113
Step 2: Find the prime factorization of 4411
4411 = 11 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19439277 = 3 x 11 x 13 x 113 x 401
Step 4: Therefore, the least common multiple of 4407 and 4411 is 19439277.