Least Common Multiple of 6389 and 6396

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 6389 and 6396 by Prime method
• Least Common Multiple of 6389 and 6396 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6389 and 6396. First we will calculate the prime factors of 6389 and 6396.

Prime Factorization of 6389

Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:

6389 = 6389¹

Prime Factorization of 6396

Prime factors of 6396 are 2, 3, 13,41. Prime factorization of 6396 in exponential form is:

6396 = 2²×3¹×13¹×41¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6389 and 6396.

LCM(6389,6396) = 2²×3¹×13¹×41¹×6389¹
LCM(6389,6396) = 40864044

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1, 6389

Factors of 6396

List of positive integer factors of 6396 that divides 6396 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6389 and 6396, than apply into the LCM equation.

GCF(6389,6396) = 1
LCM(6389,6396) = ( 6389 × 6396) / 1
LCM(6389,6396) = 40864044 / 1
LCM(6389,6396) = 40864044

(i) The LCM of 6396 and 6389 is associative

LCM of 6389 and 6396 = LCM of 6396 and 6389

1. What is the LCM of 6389 and 6396?

Answer: LCM of 6389 and 6396 is 40864044.

2. What are the Factors of 6389?

Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.

3. What are the Factors of 6396?

Answer: Factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396. There are 24 integers that are factors of 6396. The greatest factor of 6396 is 6396.

4. How to Find the LCM of 6389 and 6396?

Answer:

Least Common Multiple of 6389 and 6396 = 40864044

Step 1: Find the prime factorization of 6389

6389 = 6389

Step 2: Find the prime factorization of 6396

6396 = 2 x 2 x 3 x 13 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 40864044 = 2 x 2 x 3 x 13 x 41 x 6389

Step 4: Therefore, the least common multiple of 6389 and 6396 is 40864044.