Least Common Multiple of 6755 and 6759
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6755 and 6759 the smallest integer that is 45657045 that is divisible by both numbers.
Least Common Multiple (LCM) of 6755 and 6759 is 45657045.
LCM(6755,6759) = 45657045
LCM of 6755 and 6759
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6755 and 6759 by Prime method
- Least Common Multiple of 6755 and 6759 with GCF Formula
LCM of 6755 and 6759 is 45657045
Least common multiple can be found by multiplying the highest exponent prime factors of 6755 and 6759. First we will calculate the prime factors of 6755 and 6759.
Prime Factorization of 6755
| 5 | 6755 |
| 7 | 1351 |
| 193 | 193 |
| 1 |
Prime factors of 6755 are 5, 7,193. Prime factorization of 6755 in exponential form is:
6755 = 51×71×1931
Prime Factorization of 6759
| 3 | 6759 |
| 3 | 2253 |
| 751 | 751 |
| 1 |
Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:
6759 = 32×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 6755 and 6759.
LCM(6755,6759) = 32×51×71×1931×7511
LCM(6755,6759) = 45657045
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1, 5, 7, 35, 193, 965, 1351, 6755
Factors of 6759
List of positive integer factors of 6759 that divides 6759 without a remainder.
1, 3, 9, 751, 2253, 6759
Least Common Multiple of 6755 and 6759 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6755 and 6759, than apply into the LCM equation.
GCF(6755,6759) = 1
LCM(6755,6759) = ( 6755 × 6759) / 1
LCM(6755,6759) = 45657045 / 1
LCM(6755,6759) = 45657045
Properties of LCM 6755 and 6759
(i) The LCM of 6759 and 6755 is associative
LCM of 6755 and 6759 = LCM of 6759 and 6755
Related Least Common Multiples of 6755
Related Least Common Multiples of 6759
Frequently Asked Questions on LCM of 6755 and 6759
1. What is the LCM of 6755 and 6759?
Answer: LCM of 6755 and 6759 is 45657045.
2. What are the Factors of 6755?
Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.
3. What are the Factors of 6759?
Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.
4. How to Find the LCM of 6755 and 6759?
Answer:
Least Common Multiple of 6755 and 6759 = 45657045
Step 1: Find the prime factorization of 6755
6755 = 5 x 7 x 193
Step 2: Find the prime factorization of 6759
6759 = 3 x 3 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45657045 = 3 x 3 x 5 x 7 x 193 x 751
Step 4: Therefore, the least common multiple of 6755 and 6759 is 45657045.