Least Common Multiple of 6362 and 6369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6362 and 6369 the smallest integer that is 40519578 that is divisible by both numbers.

Least Common Multiple (LCM) of 6362 and 6369 is 40519578.

LCM(6362,6369) = 40519578

LCM of 6362 and 6369

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

LCM of:
and

Least Common Multiple of 6362 and 6369

LCM of 6362 and 6369 is 40519578

Least common multiple can be found by multiplying the highest exponent prime factors of 6362 and 6369. First we will calculate the prime factors of 6362 and 6369.

Prime Factorization of 6362


2 6362
3181 3181
1

Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:

6362 = 21×31811

Prime Factorization of 6369


3 6369
11 2123
193 193
1

Prime factors of 6369 are 3, 11,193. Prime factorization of 6369 in exponential form is:

6369 = 31×111×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6362 and 6369.

LCM(6362,6369) = 21×31×111×1931×31811
LCM(6362,6369) = 40519578

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1, 2, 3181, 6362

Factors of 6369

List of positive integer factors of 6369 that divides 6369 without a remainder.

1, 3, 11, 33, 193, 579, 2123, 6369

Least Common Multiple of 6362 and 6369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6362 and 6369, than apply into the LCM equation.

GCF(6362,6369) = 1
LCM(6362,6369) = ( 6362 × 6369) / 1
LCM(6362,6369) = 40519578 / 1
LCM(6362,6369) = 40519578

Properties of LCM 6362 and 6369

(i) The LCM of 6369 and 6362 is associative

LCM of 6362 and 6369 = LCM of 6369 and 6362

Related Least Common Multiples of 6362

Related Least Common Multiples of 6369

Frequently Asked Questions on LCM of 6362 and 6369

1. What is the LCM of 6362 and 6369?

Answer: LCM of 6362 and 6369 is 40519578.

2. What are the Factors of 6362?

Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.

3. What are the Factors of 6369?

Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.

4. How to Find the LCM of 6362 and 6369?

Answer:

Least Common Multiple of 6362 and 6369 = 40519578

Step 1: Find the prime factorization of 6362

6362 = 2 x 3181

Step 2: Find the prime factorization of 6369

6369 = 3 x 11 x 193

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

LCM = 40519578 = 2 x 3 x 11 x 193 x 3181

Step 4: Therefore, the least common multiple of 6362 and 6369 is 40519578.