Least Common Multiple of 6727 and 6735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6727 and 6735 the smallest integer that is 45306345 that is divisible by both numbers.
Least Common Multiple (LCM) of 6727 and 6735 is 45306345.
LCM(6727,6735) = 45306345
LCM of 6727 and 6735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6727 and 6735 by Prime method
- Least Common Multiple of 6727 and 6735 with GCF Formula
LCM of 6727 and 6735 is 45306345
Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6735. First we will calculate the prime factors of 6727 and 6735.
Prime Factorization of 6727
| 7 | 6727 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:
6727 = 71×312
Prime Factorization of 6735
| 3 | 6735 |
| 5 | 2245 |
| 449 | 449 |
| 1 |
Prime factors of 6735 are 3, 5,449. Prime factorization of 6735 in exponential form is:
6735 = 31×51×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 6727 and 6735.
LCM(6727,6735) = 31×51×71×312×4491
LCM(6727,6735) = 45306345
Factors of 6727
List of positive integer factors of 6727 that divides 6727 without a remainder.
1, 7, 31, 217, 961, 6727
Factors of 6735
List of positive integer factors of 6735 that divides 6735 without a remainder.
1, 3, 5, 15, 449, 1347, 2245, 6735
Least Common Multiple of 6727 and 6735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6727 and 6735, than apply into the LCM equation.
GCF(6727,6735) = 1
LCM(6727,6735) = ( 6727 × 6735) / 1
LCM(6727,6735) = 45306345 / 1
LCM(6727,6735) = 45306345
Properties of LCM 6727 and 6735
(i) The LCM of 6735 and 6727 is associative
LCM of 6727 and 6735 = LCM of 6735 and 6727
Related Least Common Multiples of 6727
Related Least Common Multiples of 6735
Frequently Asked Questions on LCM of 6727 and 6735
1. What is the LCM of 6727 and 6735?
Answer: LCM of 6727 and 6735 is 45306345.
2. What are the Factors of 6727?
Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.
3. What are the Factors of 6735?
Answer: Factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735. There are 8 integers that are factors of 6735. The greatest factor of 6735 is 6735.
4. How to Find the LCM of 6727 and 6735?
Answer:
Least Common Multiple of 6727 and 6735 = 45306345
Step 1: Find the prime factorization of 6727
6727 = 7 x 31 x 31
Step 2: Find the prime factorization of 6735
6735 = 3 x 5 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45306345 = 3 x 5 x 7 x 31 x 31 x 449
Step 4: Therefore, the least common multiple of 6727 and 6735 is 45306345.