Least Common Multiple of 4407 and 4415
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 4415 the smallest integer that is 19456905 that is divisible by both numbers.
Least Common Multiple (LCM) of 4407 and 4415 is 19456905.
LCM(4407,4415) = 19456905
LCM of 4407 and 4415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4407 and 4415 by Prime method
- Least Common Multiple of 4407 and 4415 with GCF Formula
LCM of 4407 and 4415 is 19456905
Least common multiple can be found by multiplying the highest exponent prime factors of 4407 and 4415. First we will calculate the prime factors of 4407 and 4415.
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 4415
| 5 | 4415 |
| 883 | 883 |
| 1 |
Prime factors of 4415 are 5,883. Prime factorization of 4415 in exponential form is:
4415 = 51×8831
Now multiplying the highest exponent prime factors to calculate the LCM of 4407 and 4415.
LCM(4407,4415) = 31×51×131×1131×8831
LCM(4407,4415) = 19456905
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 4415
List of positive integer factors of 4415 that divides 4415 without a remainder.
1, 5, 883, 4415
Least Common Multiple of 4407 and 4415 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 4415, than apply into the LCM equation.
GCF(4407,4415) = 1
LCM(4407,4415) = ( 4407 × 4415) / 1
LCM(4407,4415) = 19456905 / 1
LCM(4407,4415) = 19456905
Properties of LCM 4407 and 4415
(i) The LCM of 4415 and 4407 is associative
LCM of 4407 and 4415 = LCM of 4415 and 4407
Related Least Common Multiples of 4407
Related Least Common Multiples of 4415
Frequently Asked Questions on LCM of 4407 and 4415
1. What is the LCM of 4407 and 4415?
Answer: LCM of 4407 and 4415 is 19456905.
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 4415?
Answer: Factors of 4415 are 1, 5, 883, 4415. There are 4 integers that are factors of 4415. The greatest factor of 4415 is 4415.
4. How to Find the LCM of 4407 and 4415?
Answer:
Least Common Multiple of 4407 and 4415 = 19456905
Step 1: Find the prime factorization of 4407
4407 = 3 x 13 x 113
Step 2: Find the prime factorization of 4415
4415 = 5 x 883
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19456905 = 3 x 5 x 13 x 113 x 883
Step 4: Therefore, the least common multiple of 4407 and 4415 is 19456905.