Least Common Multiple of 6394 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 6394 and 6402 the smallest integer that is 20467194 that is divisible by both numbers.

Least Common Multiple (LCM) of 6394 and 6402 is 20467194.

LCM(6394,6402) = 20467194

LCM of 6394 and 6402

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

LCM of:
and

Least Common Multiple of 6394 and 6402

LCM of 6394 and 6402 is 20467194

Least common multiple can be found by multiplying the highest exponent prime factors of 6394 and 6402. First we will calculate the prime factors of 6394 and 6402.

Prime Factorization of 6394


2 6394
23 3197
139 139
1

Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:

6394 = 21×231×1391

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 6394 and 6402.

LCM(6394,6402) = 21×31×111×231×971×1391
LCM(6394,6402) = 20467194

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1, 2, 23, 46, 139, 278, 3197, 6394

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 6394 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 6394 and 6402, than apply into the LCM equation.

GCF(6394,6402) = 2
LCM(6394,6402) = ( 6394 × 6402) / 2
LCM(6394,6402) = 40934388 / 2
LCM(6394,6402) = 20467194

Properties of LCM 6394 and 6402

(i) The LCM of 6402 and 6394 is associative

LCM of 6394 and 6402 = LCM of 6402 and 6394

Related Least Common Multiples of 6394

Related Least Common Multiples of 6402

Frequently Asked Questions on LCM of 6394 and 6402

1. What is the LCM of 6394 and 6402?

Answer: LCM of 6394 and 6402 is 20467194.

2. What are the Factors of 6394?

Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.

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 6394 and 6402?

Answer:

Least Common Multiple of 6394 and 6402 = 20467194

Step 1: Find the prime factorization of 6394

6394 = 2 x 23 x 139

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 = 20467194 = 2 x 3 x 11 x 23 x 97 x 139

Step 4: Therefore, the least common multiple of 6394 and 6402 is 20467194.