Least Common Multiple of 1215 and 1222
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1215 and 1222 the smallest integer that is 1484730 that is divisible by both numbers.
Least Common Multiple (LCM) of 1215 and 1222 is 1484730.
LCM(1215,1222) = 1484730
LCM of 1215 and 1222
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1215 and 1222 by Prime method
- Least Common Multiple of 1215 and 1222 with GCF Formula
LCM of 1215 and 1222 is 1484730
Least common multiple can be found by multiplying the highest exponent prime factors of 1215 and 1222. First we will calculate the prime factors of 1215 and 1222.
Prime Factorization of 1215
| 3 | 1215 |
| 3 | 405 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 1215 are 3,5. Prime factorization of 1215 in exponential form is:
1215 = 35×51
Prime Factorization of 1222
| 2 | 1222 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 1222 are 2, 13,47. Prime factorization of 1222 in exponential form is:
1222 = 21×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1215 and 1222.
LCM(1215,1222) = 21×35×51×131×471
LCM(1215,1222) = 1484730
Factors of 1215
List of positive integer factors of 1215 that divides 1215 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
Factors of 1222
List of positive integer factors of 1222 that divides 1222 without a remainder.
1, 2, 13, 26, 47, 94, 611, 1222
Least Common Multiple of 1215 and 1222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1215 and 1222, than apply into the LCM equation.
GCF(1215,1222) = 1
LCM(1215,1222) = ( 1215 × 1222) / 1
LCM(1215,1222) = 1484730 / 1
LCM(1215,1222) = 1484730
Properties of LCM 1215 and 1222
(i) The LCM of 1222 and 1215 is associative
LCM of 1215 and 1222 = LCM of 1222 and 1215
Related Least Common Multiples of 1215
Related Least Common Multiples of 1222
Frequently Asked Questions on LCM of 1215 and 1222
1. What is the LCM of 1215 and 1222?
Answer: LCM of 1215 and 1222 is 1484730.
2. What are the Factors of 1215?
Answer: Factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215. There are 12 integers that are factors of 1215. The greatest factor of 1215 is 1215.
3. What are the Factors of 1222?
Answer: Factors of 1222 are 1, 2, 13, 26, 47, 94, 611, 1222. There are 8 integers that are factors of 1222. The greatest factor of 1222 is 1222.
4. How to Find the LCM of 1215 and 1222?
Answer:
Least Common Multiple of 1215 and 1222 = 1484730
Step 1: Find the prime factorization of 1215
1215 = 3 x 3 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 1222
1222 = 2 x 13 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 = 1484730 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 47
Step 4: Therefore, the least common multiple of 1215 and 1222 is 1484730.