Least Common Multiple of 1415 and 1421
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1415 and 1421 the smallest integer that is 2010715 that is divisible by both numbers.
Least Common Multiple (LCM) of 1415 and 1421 is 2010715.
LCM(1415,1421) = 2010715
LCM of 1415 and 1421
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1415 and 1421 by Prime method
- Least Common Multiple of 1415 and 1421 with GCF Formula
LCM of 1415 and 1421 is 2010715
Least common multiple can be found by multiplying the highest exponent prime factors of 1415 and 1421. First we will calculate the prime factors of 1415 and 1421.
Prime Factorization of 1415
| 5 | 1415 |
| 283 | 283 |
| 1 |
Prime factors of 1415 are 5,283. Prime factorization of 1415 in exponential form is:
1415 = 51×2831
Prime Factorization of 1421
| 7 | 1421 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 1421 are 7,29. Prime factorization of 1421 in exponential form is:
1421 = 72×291
Now multiplying the highest exponent prime factors to calculate the LCM of 1415 and 1421.
LCM(1415,1421) = 51×72×291×2831
LCM(1415,1421) = 2010715
Factors of 1415
List of positive integer factors of 1415 that divides 1415 without a remainder.
1, 5, 283, 1415
Factors of 1421
List of positive integer factors of 1421 that divides 1421 without a remainder.
1, 7, 29, 49, 203, 1421
Least Common Multiple of 1415 and 1421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1415 and 1421, than apply into the LCM equation.
GCF(1415,1421) = 1
LCM(1415,1421) = ( 1415 × 1421) / 1
LCM(1415,1421) = 2010715 / 1
LCM(1415,1421) = 2010715
Properties of LCM 1415 and 1421
(i) The LCM of 1421 and 1415 is associative
LCM of 1415 and 1421 = LCM of 1421 and 1415
Related Least Common Multiples of 1415
Related Least Common Multiples of 1421
Frequently Asked Questions on LCM of 1415 and 1421
1. What is the LCM of 1415 and 1421?
Answer: LCM of 1415 and 1421 is 2010715.
2. What are the Factors of 1415?
Answer: Factors of 1415 are 1, 5, 283, 1415. There are 4 integers that are factors of 1415. The greatest factor of 1415 is 1415.
3. What are the Factors of 1421?
Answer: Factors of 1421 are 1, 7, 29, 49, 203, 1421. There are 6 integers that are factors of 1421. The greatest factor of 1421 is 1421.
4. How to Find the LCM of 1415 and 1421?
Answer:
Least Common Multiple of 1415 and 1421 = 2010715
Step 1: Find the prime factorization of 1415
1415 = 5 x 283
Step 2: Find the prime factorization of 1421
1421 = 7 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2010715 = 5 x 7 x 7 x 29 x 283
Step 4: Therefore, the least common multiple of 1415 and 1421 is 2010715.