Least Common Multiple of 6279 and 6287
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6279 and 6287 the smallest integer that is 39476073 that is divisible by both numbers.
Least Common Multiple (LCM) of 6279 and 6287 is 39476073.
LCM(6279,6287) = 39476073
LCM of 6279 and 6287
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6279 and 6287 by Prime method
- Least Common Multiple of 6279 and 6287 with GCF Formula
LCM of 6279 and 6287 is 39476073
Least common multiple can be found by multiplying the highest exponent prime factors of 6279 and 6287. First we will calculate the prime factors of 6279 and 6287.
Prime Factorization of 6279
| 3 | 6279 |
| 7 | 2093 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 6279 are 3, 7, 13,23. Prime factorization of 6279 in exponential form is:
6279 = 31×71×131×231
Prime Factorization of 6287
| 6287 | 6287 |
| 1 |
Prime factors of 6287 are 6287. Prime factorization of 6287 in exponential form is:
6287 = 62871
Now multiplying the highest exponent prime factors to calculate the LCM of 6279 and 6287.
LCM(6279,6287) = 31×71×131×231×62871
LCM(6279,6287) = 39476073
Factors of 6279
List of positive integer factors of 6279 that divides 6279 without a remainder.
1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279
Factors of 6287
List of positive integer factors of 6287 that divides 6287 without a remainder.
1, 6287
Least Common Multiple of 6279 and 6287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6279 and 6287, than apply into the LCM equation.
GCF(6279,6287) = 1
LCM(6279,6287) = ( 6279 × 6287) / 1
LCM(6279,6287) = 39476073 / 1
LCM(6279,6287) = 39476073
Properties of LCM 6279 and 6287
(i) The LCM of 6287 and 6279 is associative
LCM of 6279 and 6287 = LCM of 6287 and 6279
Related Least Common Multiples of 6279
Related Least Common Multiples of 6287
Frequently Asked Questions on LCM of 6279 and 6287
1. What is the LCM of 6279 and 6287?
Answer: LCM of 6279 and 6287 is 39476073.
2. What are the Factors of 6279?
Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.
3. What are the Factors of 6287?
Answer: Factors of 6287 are 1, 6287. There are 2 integers that are factors of 6287. The greatest factor of 6287 is 6287.
4. How to Find the LCM of 6279 and 6287?
Answer:
Least Common Multiple of 6279 and 6287 = 39476073
Step 1: Find the prime factorization of 6279
6279 = 3 x 7 x 13 x 23
Step 2: Find the prime factorization of 6287
6287 = 6287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39476073 = 3 x 7 x 13 x 23 x 6287
Step 4: Therefore, the least common multiple of 6279 and 6287 is 39476073.