Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6202 and 6206 the smallest integer that is 19244806 that is divisible by both numbers.
Least Common Multiple (LCM) of 6202 and 6206 is 19244806.
LCM(6202,6206) = 19244806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6202 and 6206. First we will calculate the prime factors of 6202 and 6206.
Prime Factorization of 6202
2 | 6202 |
7 | 3101 |
443 | 443 |
1 |
Prime factors of 6202 are 2, 7,443. Prime factorization of 6202 in exponential form is:
6202 = 21×71×4431
Prime Factorization of 6206
2 | 6206 |
29 | 3103 |
107 | 107 |
1 |
Prime factors of 6206 are 2, 29,107. Prime factorization of 6206 in exponential form is:
6206 = 21×291×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 6202 and 6206.
LCM(6202,6206) = 21×71×291×1071×4431
LCM(6202,6206) = 19244806
Factors of 6202
List of positive integer factors of 6202 that divides 6202 without a remainder.
1, 2, 7, 14, 443, 886, 3101, 6202
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1, 2, 29, 58, 107, 214, 3103, 6206
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6202 and 6206, than apply into the LCM equation.
GCF(6202,6206) = 2
LCM(6202,6206) = ( 6202 × 6206) / 2
LCM(6202,6206) = 38489612 / 2
LCM(6202,6206) = 19244806
(i) The LCM of 6206 and 6202 is associative
LCM of 6202 and 6206 = LCM of 6206 and 6202
1. What is the LCM of 6202 and 6206?
Answer: LCM of 6202 and 6206 is 19244806.
2. What are the Factors of 6202?
Answer: Factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202. There are 8 integers that are factors of 6202. The greatest factor of 6202 is 6202.
3. What are the Factors of 6206?
Answer: Factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206. There are 8 integers that are factors of 6206. The greatest factor of 6206 is 6206.
4. How to Find the LCM of 6202 and 6206?
Answer:
Least Common Multiple of 6202 and 6206 = 19244806
Step 1: Find the prime factorization of 6202
6202 = 2 x 7 x 443
Step 2: Find the prime factorization of 6206
6206 = 2 x 29 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19244806 = 2 x 7 x 29 x 107 x 443
Step 4: Therefore, the least common multiple of 6202 and 6206 is 19244806.