Least Common Multiple of 6749 and 6755
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6749 and 6755 the smallest integer that is 45589495 that is divisible by both numbers.
Least Common Multiple (LCM) of 6749 and 6755 is 45589495.
LCM(6749,6755) = 45589495
LCM of 6749 and 6755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6749 and 6755 by Prime method
- Least Common Multiple of 6749 and 6755 with GCF Formula
LCM of 6749 and 6755 is 45589495
Least common multiple can be found by multiplying the highest exponent prime factors of 6749 and 6755. First we will calculate the prime factors of 6749 and 6755.
Prime Factorization of 6749
| 17 | 6749 |
| 397 | 397 |
| 1 |
Prime factors of 6749 are 17,397. Prime factorization of 6749 in exponential form is:
6749 = 171×3971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6749 and 6755.
LCM(6749,6755) = 51×71×171×1931×3971
LCM(6749,6755) = 45589495
Factors of 6749
List of positive integer factors of 6749 that divides 6749 without a remainder.
1, 17, 397, 6749
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1, 5, 7, 35, 193, 965, 1351, 6755
Least Common Multiple of 6749 and 6755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6749 and 6755, than apply into the LCM equation.
GCF(6749,6755) = 1
LCM(6749,6755) = ( 6749 × 6755) / 1
LCM(6749,6755) = 45589495 / 1
LCM(6749,6755) = 45589495
Properties of LCM 6749 and 6755
(i) The LCM of 6755 and 6749 is associative
LCM of 6749 and 6755 = LCM of 6755 and 6749
Related Least Common Multiples of 6749
Related Least Common Multiples of 6755
Frequently Asked Questions on LCM of 6749 and 6755
1. What is the LCM of 6749 and 6755?
Answer: LCM of 6749 and 6755 is 45589495.
2. What are the Factors of 6749?
Answer: Factors of 6749 are 1, 17, 397, 6749. There are 4 integers that are factors of 6749. The greatest factor of 6749 is 6749.
3. 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.
4. How to Find the LCM of 6749 and 6755?
Answer:
Least Common Multiple of 6749 and 6755 = 45589495
Step 1: Find the prime factorization of 6749
6749 = 17 x 397
Step 2: Find the prime factorization of 6755
6755 = 5 x 7 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45589495 = 5 x 7 x 17 x 193 x 397
Step 4: Therefore, the least common multiple of 6749 and 6755 is 45589495.