Least Common Multiple of 6369 and 6377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6369 and 6377 the smallest integer that is 40615113 that is divisible by both numbers.

Least Common Multiple (LCM) of 6369 and 6377 is 40615113.

LCM(6369,6377) = 40615113

LCM of 6369 and 6377

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

LCM of:
and

Least Common Multiple of 6369 and 6377

LCM of 6369 and 6377 is 40615113

Least common multiple can be found by multiplying the highest exponent prime factors of 6369 and 6377. First we will calculate the prime factors of 6369 and 6377.

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

Prime Factorization of 6377


7 6377
911 911
1

Prime factors of 6377 are 7,911. Prime factorization of 6377 in exponential form is:

6377 = 71×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 6369 and 6377.

LCM(6369,6377) = 31×71×111×1931×9111
LCM(6369,6377) = 40615113

Factors of 6369

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

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

Factors of 6377

List of positive integer factors of 6377 that divides 6377 without a remainder.

1, 7, 911, 6377

Least Common Multiple of 6369 and 6377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6369 and 6377, than apply into the LCM equation.

GCF(6369,6377) = 1
LCM(6369,6377) = ( 6369 × 6377) / 1
LCM(6369,6377) = 40615113 / 1
LCM(6369,6377) = 40615113

Properties of LCM 6369 and 6377

(i) The LCM of 6377 and 6369 is associative

LCM of 6369 and 6377 = LCM of 6377 and 6369

Related Least Common Multiples of 6369

Related Least Common Multiples of 6377

Frequently Asked Questions on LCM of 6369 and 6377

1. What is the LCM of 6369 and 6377?

Answer: LCM of 6369 and 6377 is 40615113.

2. 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.

3. What are the Factors of 6377?

Answer: Factors of 6377 are 1, 7, 911, 6377. There are 4 integers that are factors of 6377. The greatest factor of 6377 is 6377.

4. How to Find the LCM of 6369 and 6377?

Answer:

Least Common Multiple of 6369 and 6377 = 40615113

Step 1: Find the prime factorization of 6369

6369 = 3 x 11 x 193

Step 2: Find the prime factorization of 6377

6377 = 7 x 911

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

LCM = 40615113 = 3 x 7 x 11 x 193 x 911

Step 4: Therefore, the least common multiple of 6369 and 6377 is 40615113.