Least Common Multiple of 6351 and 6357
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6351 and 6357 the smallest integer that is 13457769 that is divisible by both numbers.
Least Common Multiple (LCM) of 6351 and 6357 is 13457769.
LCM(6351,6357) = 13457769
LCM of 6351 and 6357
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6351 and 6357 by Prime method
- Least Common Multiple of 6351 and 6357 with GCF Formula
LCM of 6351 and 6357 is 13457769
Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6357. First we will calculate the prime factors of 6351 and 6357.
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
Prime Factorization of 6357
| 3 | 6357 |
| 13 | 2119 |
| 163 | 163 |
| 1 |
Prime factors of 6357 are 3, 13,163. Prime factorization of 6357 in exponential form is:
6357 = 31×131×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6357.
LCM(6351,6357) = 31×131×291×731×1631
LCM(6351,6357) = 13457769
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1, 3, 29, 73, 87, 219, 2117, 6351
Factors of 6357
List of positive integer factors of 6357 that divides 6357 without a remainder.
1, 3, 13, 39, 163, 489, 2119, 6357
Least Common Multiple of 6351 and 6357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6351 and 6357, than apply into the LCM equation.
GCF(6351,6357) = 3
LCM(6351,6357) = ( 6351 × 6357) / 3
LCM(6351,6357) = 40373307 / 3
LCM(6351,6357) = 13457769
Properties of LCM 6351 and 6357
(i) The LCM of 6357 and 6351 is associative
LCM of 6351 and 6357 = LCM of 6357 and 6351
Related Least Common Multiples of 6351
Related Least Common Multiples of 6357
Frequently Asked Questions on LCM of 6351 and 6357
1. What is the LCM of 6351 and 6357?
Answer: LCM of 6351 and 6357 is 13457769.
2. 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.
3. What are the Factors of 6357?
Answer: Factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357. There are 8 integers that are factors of 6357. The greatest factor of 6357 is 6357.
4. How to Find the LCM of 6351 and 6357?
Answer:
Least Common Multiple of 6351 and 6357 = 13457769
Step 1: Find the prime factorization of 6351
6351 = 3 x 29 x 73
Step 2: Find the prime factorization of 6357
6357 = 3 x 13 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13457769 = 3 x 13 x 29 x 73 x 163
Step 4: Therefore, the least common multiple of 6351 and 6357 is 13457769.