Least Common Multiple of 6346 and 6351
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6346 and 6351 the smallest integer that is 40303446 that is divisible by both numbers.
Least Common Multiple (LCM) of 6346 and 6351 is 40303446.
LCM(6346,6351) = 40303446
LCM of 6346 and 6351
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6346 and 6351 by Prime method
- Least Common Multiple of 6346 and 6351 with GCF Formula
LCM of 6346 and 6351 is 40303446
Least common multiple can be found by multiplying the highest exponent prime factors of 6346 and 6351. First we will calculate the prime factors of 6346 and 6351.
Prime Factorization of 6346
| 2 | 6346 |
| 19 | 3173 |
| 167 | 167 |
| 1 |
Prime factors of 6346 are 2, 19,167. Prime factorization of 6346 in exponential form is:
6346 = 21×191×1671
Prime Factorization of 6351
| 3 | 6351 |
| 29 | 2117 |
| 73 | 73 |
| 1 |
Prime factors of 6351 are 3, 29,73. Prime factorization of 6351 in exponential form is:
6351 = 31×291×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6346 and 6351.
LCM(6346,6351) = 21×31×191×291×731×1671
LCM(6346,6351) = 40303446
Factors of 6346
List of positive integer factors of 6346 that divides 6346 without a remainder.
1, 2, 19, 38, 167, 334, 3173, 6346
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1, 3, 29, 73, 87, 219, 2117, 6351
Least Common Multiple of 6346 and 6351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6346 and 6351, than apply into the LCM equation.
GCF(6346,6351) = 1
LCM(6346,6351) = ( 6346 × 6351) / 1
LCM(6346,6351) = 40303446 / 1
LCM(6346,6351) = 40303446
Properties of LCM 6346 and 6351
(i) The LCM of 6351 and 6346 is associative
LCM of 6346 and 6351 = LCM of 6351 and 6346
Related Least Common Multiples of 6346
Related Least Common Multiples of 6351
Frequently Asked Questions on LCM of 6346 and 6351
1. What is the LCM of 6346 and 6351?
Answer: LCM of 6346 and 6351 is 40303446.
2. What are the Factors of 6346?
Answer: Factors of 6346 are 1, 2, 19, 38, 167, 334, 3173, 6346. There are 8 integers that are factors of 6346. The greatest factor of 6346 is 6346.
3. What are the Factors of 6351?
Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.
4. How to Find the LCM of 6346 and 6351?
Answer:
Least Common Multiple of 6346 and 6351 = 40303446
Step 1: Find the prime factorization of 6346
6346 = 2 x 19 x 167
Step 2: Find the prime factorization of 6351
6351 = 3 x 29 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40303446 = 2 x 3 x 19 x 29 x 73 x 167
Step 4: Therefore, the least common multiple of 6346 and 6351 is 40303446.