Least Common Multiple of 6215 and 6222
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6215 and 6222 the smallest integer that is 38669730 that is divisible by both numbers.
Least Common Multiple (LCM) of 6215 and 6222 is 38669730.
LCM(6215,6222) = 38669730
LCM of 6215 and 6222
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6215 and 6222 by Prime method
- Least Common Multiple of 6215 and 6222 with GCF Formula
LCM of 6215 and 6222 is 38669730
Least common multiple can be found by multiplying the highest exponent prime factors of 6215 and 6222. First we will calculate the prime factors of 6215 and 6222.
Prime Factorization of 6215
| 5 | 6215 |
| 11 | 1243 |
| 113 | 113 |
| 1 |
Prime factors of 6215 are 5, 11,113. Prime factorization of 6215 in exponential form is:
6215 = 51×111×1131
Prime Factorization of 6222
| 2 | 6222 |
| 3 | 3111 |
| 17 | 1037 |
| 61 | 61 |
| 1 |
Prime factors of 6222 are 2, 3, 17,61. Prime factorization of 6222 in exponential form is:
6222 = 21×31×171×611
Now multiplying the highest exponent prime factors to calculate the LCM of 6215 and 6222.
LCM(6215,6222) = 21×31×51×111×171×611×1131
LCM(6215,6222) = 38669730
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1, 5, 11, 55, 113, 565, 1243, 6215
Factors of 6222
List of positive integer factors of 6222 that divides 6222 without a remainder.
1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222
Least Common Multiple of 6215 and 6222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6215 and 6222, than apply into the LCM equation.
GCF(6215,6222) = 1
LCM(6215,6222) = ( 6215 × 6222) / 1
LCM(6215,6222) = 38669730 / 1
LCM(6215,6222) = 38669730
Properties of LCM 6215 and 6222
(i) The LCM of 6222 and 6215 is associative
LCM of 6215 and 6222 = LCM of 6222 and 6215
Related Least Common Multiples of 6215
Related Least Common Multiples of 6222
Frequently Asked Questions on LCM of 6215 and 6222
1. What is the LCM of 6215 and 6222?
Answer: LCM of 6215 and 6222 is 38669730.
2. What are the Factors of 6215?
Answer: Factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215. There are 8 integers that are factors of 6215. The greatest factor of 6215 is 6215.
3. What are the Factors of 6222?
Answer: Factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222. There are 16 integers that are factors of 6222. The greatest factor of 6222 is 6222.
4. How to Find the LCM of 6215 and 6222?
Answer:
Least Common Multiple of 6215 and 6222 = 38669730
Step 1: Find the prime factorization of 6215
6215 = 5 x 11 x 113
Step 2: Find the prime factorization of 6222
6222 = 2 x 3 x 17 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38669730 = 2 x 3 x 5 x 11 x 17 x 61 x 113
Step 4: Therefore, the least common multiple of 6215 and 6222 is 38669730.