Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6386 and 6393 the smallest integer that is 40825698 that is divisible by both numbers.
Least Common Multiple (LCM) of 6386 and 6393 is 40825698.
LCM(6386,6393) = 40825698
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 6386 and 6393. First we will calculate the prime factors of 6386 and 6393.
Prime Factorization of 6386
2 | 6386 |
31 | 3193 |
103 | 103 |
1 |
Prime factors of 6386 are 2, 31,103. Prime factorization of 6386 in exponential form is:
6386 = 21×311×1031
Prime Factorization of 6393
3 | 6393 |
2131 | 2131 |
1 |
Prime factors of 6393 are 3,2131. Prime factorization of 6393 in exponential form is:
6393 = 31×21311
Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6393.
LCM(6386,6393) = 21×31×311×1031×21311
LCM(6386,6393) = 40825698
Factors of 6386
List of positive integer factors of 6386 that divides 6386 without a remainder.
1, 2, 31, 62, 103, 206, 3193, 6386
Factors of 6393
List of positive integer factors of 6393 that divides 6393 without a remainder.
1, 3, 2131, 6393
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6393, than apply into the LCM equation.
GCF(6386,6393) = 1
LCM(6386,6393) = ( 6386 × 6393) / 1
LCM(6386,6393) = 40825698 / 1
LCM(6386,6393) = 40825698
(i) The LCM of 6393 and 6386 is associative
LCM of 6386 and 6393 = LCM of 6393 and 6386
1. What is the LCM of 6386 and 6393?
Answer: LCM of 6386 and 6393 is 40825698.
2. What are the Factors of 6386?
Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.
3. What are the Factors of 6393?
Answer: Factors of 6393 are 1, 3, 2131, 6393. There are 4 integers that are factors of 6393. The greatest factor of 6393 is 6393.
4. How to Find the LCM of 6386 and 6393?
Answer:
Least Common Multiple of 6386 and 6393 = 40825698
Step 1: Find the prime factorization of 6386
6386 = 2 x 31 x 103
Step 2: Find the prime factorization of 6393
6393 = 3 x 2131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40825698 = 2 x 3 x 31 x 103 x 2131
Step 4: Therefore, the least common multiple of 6386 and 6393 is 40825698.