Least Common Multiple of 6351 and 6359
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 6359 the smallest integer that is 40386009 that is divisible by both numbers.
Least Common Multiple (LCM) of 6351 and 6359 is 40386009.
LCM(6351,6359) = 40386009
LCM of 6351 and 6359
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6351 and 6359 by Prime method
- Least Common Multiple of 6351 and 6359 with GCF Formula
LCM of 6351 and 6359 is 40386009
Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6359. First we will calculate the prime factors of 6351 and 6359.
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 6359
| 6359 | 6359 |
| 1 |
Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:
6359 = 63591
Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6359.
LCM(6351,6359) = 31×291×731×63591
LCM(6351,6359) = 40386009
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 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1, 6359
Least Common Multiple of 6351 and 6359 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 6359, than apply into the LCM equation.
GCF(6351,6359) = 1
LCM(6351,6359) = ( 6351 × 6359) / 1
LCM(6351,6359) = 40386009 / 1
LCM(6351,6359) = 40386009
Properties of LCM 6351 and 6359
(i) The LCM of 6359 and 6351 is associative
LCM of 6351 and 6359 = LCM of 6359 and 6351
Related Least Common Multiples of 6351
Related Least Common Multiples of 6359
Frequently Asked Questions on LCM of 6351 and 6359
1. What is the LCM of 6351 and 6359?
Answer: LCM of 6351 and 6359 is 40386009.
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 6359?
Answer: Factors of 6359 are 1, 6359. There are 2 integers that are factors of 6359. The greatest factor of 6359 is 6359.
4. How to Find the LCM of 6351 and 6359?
Answer:
Least Common Multiple of 6351 and 6359 = 40386009
Step 1: Find the prime factorization of 6351
6351 = 3 x 29 x 73
Step 2: Find the prime factorization of 6359
6359 = 6359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40386009 = 3 x 29 x 73 x 6359
Step 4: Therefore, the least common multiple of 6351 and 6359 is 40386009.