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 6733 the smallest integer that is 45292891 that is divisible by both numbers.
Least Common Multiple (LCM) of 6727 and 6733 is 45292891.
LCM(6727,6733) = 45292891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6727 and 6733. First we will calculate the prime factors of 6727 and 6733.
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 6733
6733 | 6733 |
1 |
Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:
6733 = 67331
Now multiplying the highest exponent prime factors to calculate the LCM of 6727 and 6733.
LCM(6727,6733) = 71×312×67331
LCM(6727,6733) = 45292891
Factors of 6727
List of positive integer factors of 6727 that divides 6727 without a remainder.
1, 7, 31, 217, 961, 6727
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1, 6733
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6727 and 6733, than apply into the LCM equation.
GCF(6727,6733) = 1
LCM(6727,6733) = ( 6727 × 6733) / 1
LCM(6727,6733) = 45292891 / 1
LCM(6727,6733) = 45292891
(i) The LCM of 6733 and 6727 is associative
LCM of 6727 and 6733 = LCM of 6733 and 6727
1. What is the LCM of 6727 and 6733?
Answer: LCM of 6727 and 6733 is 45292891.
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 6733?
Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.
4. How to Find the LCM of 6727 and 6733?
Answer:
Least Common Multiple of 6727 and 6733 = 45292891
Step 1: Find the prime factorization of 6727
6727 = 7 x 31 x 31
Step 2: Find the prime factorization of 6733
6733 = 6733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45292891 = 7 x 31 x 31 x 6733
Step 4: Therefore, the least common multiple of 6727 and 6733 is 45292891.