Least Common Multiple of 6373 and 6380
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6373 and 6380 the smallest integer that is 40659740 that is divisible by both numbers.
Least Common Multiple (LCM) of 6373 and 6380 is 40659740.
LCM(6373,6380) = 40659740
LCM of 6373 and 6380
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6373 and 6380 by Prime method
- Least Common Multiple of 6373 and 6380 with GCF Formula
LCM of 6373 and 6380 is 40659740
Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6380. First we will calculate the prime factors of 6373 and 6380.
Prime Factorization of 6373
| 6373 | 6373 |
| 1 |
Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:
6373 = 63731
Prime Factorization of 6380
| 2 | 6380 |
| 2 | 3190 |
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 6380 are 2, 5, 11,29. Prime factorization of 6380 in exponential form is:
6380 = 22×51×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6380.
LCM(6373,6380) = 22×51×111×291×63731
LCM(6373,6380) = 40659740
Factors of 6373
List of positive integer factors of 6373 that divides 6373 without a remainder.
1, 6373
Factors of 6380
List of positive integer factors of 6380 that divides 6380 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
Least Common Multiple of 6373 and 6380 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6373 and 6380, than apply into the LCM equation.
GCF(6373,6380) = 1
LCM(6373,6380) = ( 6373 × 6380) / 1
LCM(6373,6380) = 40659740 / 1
LCM(6373,6380) = 40659740
Properties of LCM 6373 and 6380
(i) The LCM of 6380 and 6373 is associative
LCM of 6373 and 6380 = LCM of 6380 and 6373
Related Least Common Multiples of 6373
Related Least Common Multiples of 6380
Frequently Asked Questions on LCM of 6373 and 6380
1. What is the LCM of 6373 and 6380?
Answer: LCM of 6373 and 6380 is 40659740.
2. What are the Factors of 6373?
Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.
3. What are the Factors of 6380?
Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.
4. How to Find the LCM of 6373 and 6380?
Answer:
Least Common Multiple of 6373 and 6380 = 40659740
Step 1: Find the prime factorization of 6373
6373 = 6373
Step 2: Find the prime factorization of 6380
6380 = 2 x 2 x 5 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40659740 = 2 x 2 x 5 x 11 x 29 x 6373
Step 4: Therefore, the least common multiple of 6373 and 6380 is 40659740.