Least Common Multiple of 1415 and 1422
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 1422 the smallest integer that is 2012130 that is divisible by both numbers.
Least Common Multiple (LCM) of 1415 and 1422 is 2012130.
LCM(1415,1422) = 2012130
LCM of 1415 and 1422
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1415 and 1422 by Prime method
- Least Common Multiple of 1415 and 1422 with GCF Formula
LCM of 1415 and 1422 is 2012130
Least common multiple can be found by multiplying the highest exponent prime factors of 1415 and 1422. First we will calculate the prime factors of 1415 and 1422.
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 1422
| 2 | 1422 |
| 3 | 711 |
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 1422 are 2, 3,79. Prime factorization of 1422 in exponential form is:
1422 = 21×32×791
Now multiplying the highest exponent prime factors to calculate the LCM of 1415 and 1422.
LCM(1415,1422) = 21×32×51×791×2831
LCM(1415,1422) = 2012130
Factors of 1415
List of positive integer factors of 1415 that divides 1415 without a remainder.
1, 5, 283, 1415
Factors of 1422
List of positive integer factors of 1422 that divides 1422 without a remainder.
1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422
Least Common Multiple of 1415 and 1422 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 1422, than apply into the LCM equation.
GCF(1415,1422) = 1
LCM(1415,1422) = ( 1415 × 1422) / 1
LCM(1415,1422) = 2012130 / 1
LCM(1415,1422) = 2012130
Properties of LCM 1415 and 1422
(i) The LCM of 1422 and 1415 is associative
LCM of 1415 and 1422 = LCM of 1422 and 1415
Related Least Common Multiples of 1415
Related Least Common Multiples of 1422
Frequently Asked Questions on LCM of 1415 and 1422
1. What is the LCM of 1415 and 1422?
Answer: LCM of 1415 and 1422 is 2012130.
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 1422?
Answer: Factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422. There are 12 integers that are factors of 1422. The greatest factor of 1422 is 1422.
4. How to Find the LCM of 1415 and 1422?
Answer:
Least Common Multiple of 1415 and 1422 = 2012130
Step 1: Find the prime factorization of 1415
1415 = 5 x 283
Step 2: Find the prime factorization of 1422
1422 = 2 x 3 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2012130 = 2 x 3 x 3 x 5 x 79 x 283
Step 4: Therefore, the least common multiple of 1415 and 1422 is 2012130.