Least Common Multiple of 6196 and 6202
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6196 and 6202 the smallest integer that is 19213796 that is divisible by both numbers.
Least Common Multiple (LCM) of 6196 and 6202 is 19213796.
LCM(6196,6202) = 19213796
LCM of 6196 and 6202
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6196 and 6202 by Prime method
- Least Common Multiple of 6196 and 6202 with GCF Formula
LCM of 6196 and 6202 is 19213796
Least common multiple can be found by multiplying the highest exponent prime factors of 6196 and 6202. First we will calculate the prime factors of 6196 and 6202.
Prime Factorization of 6196
| 2 | 6196 |
| 2 | 3098 |
| 1549 | 1549 |
| 1 |
Prime factors of 6196 are 2,1549. Prime factorization of 6196 in exponential form is:
6196 = 22×15491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6196 and 6202.
LCM(6196,6202) = 22×71×4431×15491
LCM(6196,6202) = 19213796
Factors of 6196
List of positive integer factors of 6196 that divides 6196 without a remainder.
1, 2, 4, 1549, 3098, 6196
Factors of 6202
List of positive integer factors of 6202 that divides 6202 without a remainder.
1, 2, 7, 14, 443, 886, 3101, 6202
Least Common Multiple of 6196 and 6202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6196 and 6202, than apply into the LCM equation.
GCF(6196,6202) = 2
LCM(6196,6202) = ( 6196 × 6202) / 2
LCM(6196,6202) = 38427592 / 2
LCM(6196,6202) = 19213796
Properties of LCM 6196 and 6202
(i) The LCM of 6202 and 6196 is associative
LCM of 6196 and 6202 = LCM of 6202 and 6196
Related Least Common Multiples of 6196
Related Least Common Multiples of 6202
Frequently Asked Questions on LCM of 6196 and 6202
1. What is the LCM of 6196 and 6202?
Answer: LCM of 6196 and 6202 is 19213796.
2. What are the Factors of 6196?
Answer: Factors of 6196 are 1, 2, 4, 1549, 3098, 6196. There are 6 integers that are factors of 6196. The greatest factor of 6196 is 6196.
3. 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.
4. How to Find the LCM of 6196 and 6202?
Answer:
Least Common Multiple of 6196 and 6202 = 19213796
Step 1: Find the prime factorization of 6196
6196 = 2 x 2 x 1549
Step 2: Find the prime factorization of 6202
6202 = 2 x 7 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19213796 = 2 x 2 x 7 x 443 x 1549
Step 4: Therefore, the least common multiple of 6196 and 6202 is 19213796.