Least Common Multiple of 8202 and 8207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8202 and 8207 the smallest integer that is 67313814 that is divisible by both numbers.
Least Common Multiple (LCM) of 8202 and 8207 is 67313814.
LCM(8202,8207) = 67313814
LCM of 8202 and 8207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8202 and 8207 by Prime method
- Least Common Multiple of 8202 and 8207 with GCF Formula
LCM of 8202 and 8207 is 67313814
Least common multiple can be found by multiplying the highest exponent prime factors of 8202 and 8207. First we will calculate the prime factors of 8202 and 8207.
Prime Factorization of 8202
| 2 | 8202 |
| 3 | 4101 |
| 1367 | 1367 |
| 1 |
Prime factors of 8202 are 2, 3,1367. Prime factorization of 8202 in exponential form is:
8202 = 21×31×13671
Prime Factorization of 8207
| 29 | 8207 |
| 283 | 283 |
| 1 |
Prime factors of 8207 are 29,283. Prime factorization of 8207 in exponential form is:
8207 = 291×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 8202 and 8207.
LCM(8202,8207) = 21×31×291×2831×13671
LCM(8202,8207) = 67313814
Factors of 8202
List of positive integer factors of 8202 that divides 8202 without a remainder.
1, 2, 3, 6, 1367, 2734, 4101, 8202
Factors of 8207
List of positive integer factors of 8207 that divides 8207 without a remainder.
1, 29, 283, 8207
Least Common Multiple of 8202 and 8207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8202 and 8207, than apply into the LCM equation.
GCF(8202,8207) = 1
LCM(8202,8207) = ( 8202 × 8207) / 1
LCM(8202,8207) = 67313814 / 1
LCM(8202,8207) = 67313814
Properties of LCM 8202 and 8207
(i) The LCM of 8207 and 8202 is associative
LCM of 8202 and 8207 = LCM of 8207 and 8202
Related Least Common Multiples of 8202
Related Least Common Multiples of 8207
Frequently Asked Questions on LCM of 8202 and 8207
1. What is the LCM of 8202 and 8207?
Answer: LCM of 8202 and 8207 is 67313814.
2. What are the Factors of 8202?
Answer: Factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202. There are 8 integers that are factors of 8202. The greatest factor of 8202 is 8202.
3. What are the Factors of 8207?
Answer: Factors of 8207 are 1, 29, 283, 8207. There are 4 integers that are factors of 8207. The greatest factor of 8207 is 8207.
4. How to Find the LCM of 8202 and 8207?
Answer:
Least Common Multiple of 8202 and 8207 = 67313814
Step 1: Find the prime factorization of 8202
8202 = 2 x 3 x 1367
Step 2: Find the prime factorization of 8207
8207 = 29 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67313814 = 2 x 3 x 29 x 283 x 1367
Step 4: Therefore, the least common multiple of 8202 and 8207 is 67313814.