Least Common Multiple of 6397 and 6402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6397 and 6402 the smallest integer that is 40953594 that is divisible by both numbers.

Least Common Multiple (LCM) of 6397 and 6402 is 40953594.

LCM(6397,6402) = 40953594

LCM of 6397 and 6402

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

LCM of:
and

Least Common Multiple of 6397 and 6402

LCM of 6397 and 6402 is 40953594

Least common multiple can be found by multiplying the highest exponent prime factors of 6397 and 6402. First we will calculate the prime factors of 6397 and 6402.

Prime Factorization of 6397


6397 6397
1

Prime factors of 6397 are 6397. Prime factorization of 6397 in exponential form is:

6397 = 63971

Prime Factorization of 6402


2 6402
3 3201
11 1067
97 97
1

Prime factors of 6402 are 2, 3, 11,97. Prime factorization of 6402 in exponential form is:

6402 = 21×31×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6397 and 6402.

LCM(6397,6402) = 21×31×111×971×63971
LCM(6397,6402) = 40953594

Factors of 6397

List of positive integer factors of 6397 that divides 6397 without a remainder.

1, 6397

Factors of 6402

List of positive integer factors of 6402 that divides 6402 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402

Least Common Multiple of 6397 and 6402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6397 and 6402, than apply into the LCM equation.

GCF(6397,6402) = 1
LCM(6397,6402) = ( 6397 × 6402) / 1
LCM(6397,6402) = 40953594 / 1
LCM(6397,6402) = 40953594

Properties of LCM 6397 and 6402

(i) The LCM of 6402 and 6397 is associative

LCM of 6397 and 6402 = LCM of 6402 and 6397

Related Least Common Multiples of 6397

Related Least Common Multiples of 6402

Frequently Asked Questions on LCM of 6397 and 6402

1. What is the LCM of 6397 and 6402?

Answer: LCM of 6397 and 6402 is 40953594.

2. What are the Factors of 6397?

Answer: Factors of 6397 are 1, 6397. There are 2 integers that are factors of 6397. The greatest factor of 6397 is 6397.

3. What are the Factors of 6402?

Answer: Factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402. There are 16 integers that are factors of 6402. The greatest factor of 6402 is 6402.

4. How to Find the LCM of 6397 and 6402?

Answer:

Least Common Multiple of 6397 and 6402 = 40953594

Step 1: Find the prime factorization of 6397

6397 = 6397

Step 2: Find the prime factorization of 6402

6402 = 2 x 3 x 11 x 97

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

LCM = 40953594 = 2 x 3 x 11 x 97 x 6397

Step 4: Therefore, the least common multiple of 6397 and 6402 is 40953594.