Least Common Multiple of 6370 and 6377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6370 and 6377 the smallest integer that is 5803070 that is divisible by both numbers.
Least Common Multiple (LCM) of 6370 and 6377 is 5803070.
LCM(6370,6377) = 5803070
LCM of 6370 and 6377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6370 and 6377 by Prime method
- Least Common Multiple of 6370 and 6377 with GCF Formula
LCM of 6370 and 6377 is 5803070
Least common multiple can be found by multiplying the highest exponent prime factors of 6370 and 6377. First we will calculate the prime factors of 6370 and 6377.
Prime Factorization of 6370
| 2 | 6370 |
| 5 | 3185 |
| 7 | 637 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 6370 are 2, 5, 7,13. Prime factorization of 6370 in exponential form is:
6370 = 21×51×72×131
Prime Factorization of 6377
| 7 | 6377 |
| 911 | 911 |
| 1 |
Prime factors of 6377 are 7,911. Prime factorization of 6377 in exponential form is:
6377 = 71×9111
Now multiplying the highest exponent prime factors to calculate the LCM of 6370 and 6377.
LCM(6370,6377) = 21×51×72×131×9111
LCM(6370,6377) = 5803070
Factors of 6370
List of positive integer factors of 6370 that divides 6370 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370
Factors of 6377
List of positive integer factors of 6377 that divides 6377 without a remainder.
1, 7, 911, 6377
Least Common Multiple of 6370 and 6377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6370 and 6377, than apply into the LCM equation.
GCF(6370,6377) = 7
LCM(6370,6377) = ( 6370 × 6377) / 7
LCM(6370,6377) = 40621490 / 7
LCM(6370,6377) = 5803070
Properties of LCM 6370 and 6377
(i) The LCM of 6377 and 6370 is associative
LCM of 6370 and 6377 = LCM of 6377 and 6370
Related Least Common Multiples of 6370
Related Least Common Multiples of 6377
Frequently Asked Questions on LCM of 6370 and 6377
1. What is the LCM of 6370 and 6377?
Answer: LCM of 6370 and 6377 is 5803070.
2. What are the Factors of 6370?
Answer: Factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370. There are 24 integers that are factors of 6370. The greatest factor of 6370 is 6370.
3. What are the Factors of 6377?
Answer: Factors of 6377 are 1, 7, 911, 6377. There are 4 integers that are factors of 6377. The greatest factor of 6377 is 6377.
4. How to Find the LCM of 6370 and 6377?
Answer:
Least Common Multiple of 6370 and 6377 = 5803070
Step 1: Find the prime factorization of 6370
6370 = 2 x 5 x 7 x 7 x 13
Step 2: Find the prime factorization of 6377
6377 = 7 x 911
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5803070 = 2 x 5 x 7 x 7 x 13 x 911
Step 4: Therefore, the least common multiple of 6370 and 6377 is 5803070.