Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6378 and 6383 the smallest integer that is 40710774 that is divisible by both numbers.
Least Common Multiple (LCM) of 6378 and 6383 is 40710774.
LCM(6378,6383) = 40710774
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6383. First we will calculate the prime factors of 6378 and 6383.
Prime Factorization of 6378
2 | 6378 |
3 | 3189 |
1063 | 1063 |
1 |
Prime factors of 6378 are 2, 3,1063. Prime factorization of 6378 in exponential form is:
6378 = 21×31×10631
Prime Factorization of 6383
13 | 6383 |
491 | 491 |
1 |
Prime factors of 6383 are 13,491. Prime factorization of 6383 in exponential form is:
6383 = 131×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6383.
LCM(6378,6383) = 21×31×131×4911×10631
LCM(6378,6383) = 40710774
Factors of 6378
List of positive integer factors of 6378 that divides 6378 without a remainder.
1, 2, 3, 6, 1063, 2126, 3189, 6378
Factors of 6383
List of positive integer factors of 6383 that divides 6383 without a remainder.
1, 13, 491, 6383
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6378 and 6383, than apply into the LCM equation.
GCF(6378,6383) = 1
LCM(6378,6383) = ( 6378 × 6383) / 1
LCM(6378,6383) = 40710774 / 1
LCM(6378,6383) = 40710774
(i) The LCM of 6383 and 6378 is associative
LCM of 6378 and 6383 = LCM of 6383 and 6378
1. What is the LCM of 6378 and 6383?
Answer: LCM of 6378 and 6383 is 40710774.
2. What are the Factors of 6378?
Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.
3. What are the Factors of 6383?
Answer: Factors of 6383 are 1, 13, 491, 6383. There are 4 integers that are factors of 6383. The greatest factor of 6383 is 6383.
4. How to Find the LCM of 6378 and 6383?
Answer:
Least Common Multiple of 6378 and 6383 = 40710774
Step 1: Find the prime factorization of 6378
6378 = 2 x 3 x 1063
Step 2: Find the prime factorization of 6383
6383 = 13 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40710774 = 2 x 3 x 13 x 491 x 1063
Step 4: Therefore, the least common multiple of 6378 and 6383 is 40710774.