Least Common Multiple of 6757 and 6762
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6757 and 6762 the smallest integer that is 45690834 that is divisible by both numbers.
Least Common Multiple (LCM) of 6757 and 6762 is 45690834.
LCM(6757,6762) = 45690834
LCM of 6757 and 6762
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6757 and 6762 by Prime method
- Least Common Multiple of 6757 and 6762 with GCF Formula
LCM of 6757 and 6762 is 45690834
Least common multiple can be found by multiplying the highest exponent prime factors of 6757 and 6762. First we will calculate the prime factors of 6757 and 6762.
Prime Factorization of 6757
| 29 | 6757 |
| 233 | 233 |
| 1 |
Prime factors of 6757 are 29,233. Prime factorization of 6757 in exponential form is:
6757 = 291×2331
Prime Factorization of 6762
| 2 | 6762 |
| 3 | 3381 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 6762 are 2, 3, 7,23. Prime factorization of 6762 in exponential form is:
6762 = 21×31×72×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6757 and 6762.
LCM(6757,6762) = 21×31×72×231×291×2331
LCM(6757,6762) = 45690834
Factors of 6757
List of positive integer factors of 6757 that divides 6757 without a remainder.
1, 29, 233, 6757
Factors of 6762
List of positive integer factors of 6762 that divides 6762 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
Least Common Multiple of 6757 and 6762 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6757 and 6762, than apply into the LCM equation.
GCF(6757,6762) = 1
LCM(6757,6762) = ( 6757 × 6762) / 1
LCM(6757,6762) = 45690834 / 1
LCM(6757,6762) = 45690834
Properties of LCM 6757 and 6762
(i) The LCM of 6762 and 6757 is associative
LCM of 6757 and 6762 = LCM of 6762 and 6757
Related Least Common Multiples of 6757
Related Least Common Multiples of 6762
Frequently Asked Questions on LCM of 6757 and 6762
1. What is the LCM of 6757 and 6762?
Answer: LCM of 6757 and 6762 is 45690834.
2. What are the Factors of 6757?
Answer: Factors of 6757 are 1, 29, 233, 6757. There are 4 integers that are factors of 6757. The greatest factor of 6757 is 6757.
3. What are the Factors of 6762?
Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.
4. How to Find the LCM of 6757 and 6762?
Answer:
Least Common Multiple of 6757 and 6762 = 45690834
Step 1: Find the prime factorization of 6757
6757 = 29 x 233
Step 2: Find the prime factorization of 6762
6762 = 2 x 3 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45690834 = 2 x 3 x 7 x 7 x 23 x 29 x 233
Step 4: Therefore, the least common multiple of 6757 and 6762 is 45690834.