Least Common Multiple of 6364 and 6371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6364 and 6371 the smallest integer that is 40545044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6371 is 40545044.

LCM(6364,6371) = 40545044

LCM of 6364 and 6371

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

LCM of:
and

Least Common Multiple of 6364 and 6371

LCM of 6364 and 6371 is 40545044

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6371. First we will calculate the prime factors of 6364 and 6371.

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2, 37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

Prime Factorization of 6371


23 6371
277 277
1

Prime factors of 6371 are 23,277. Prime factorization of 6371 in exponential form is:

6371 = 231×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6371.

LCM(6364,6371) = 22×231×371×431×2771
LCM(6364,6371) = 40545044

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

Factors of 6371

List of positive integer factors of 6371 that divides 6371 without a remainder.

1, 23, 277, 6371

Least Common Multiple of 6364 and 6371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6371, than apply into the LCM equation.

GCF(6364,6371) = 1
LCM(6364,6371) = ( 6364 × 6371) / 1
LCM(6364,6371) = 40545044 / 1
LCM(6364,6371) = 40545044

Properties of LCM 6364 and 6371

(i) The LCM of 6371 and 6364 is associative

LCM of 6364 and 6371 = LCM of 6371 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6371

Frequently Asked Questions on LCM of 6364 and 6371

1. What is the LCM of 6364 and 6371?

Answer: LCM of 6364 and 6371 is 40545044.

2. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

3. What are the Factors of 6371?

Answer: Factors of 6371 are 1, 23, 277, 6371. There are 4 integers that are factors of 6371. The greatest factor of 6371 is 6371.

4. How to Find the LCM of 6364 and 6371?

Answer:

Least Common Multiple of 6364 and 6371 = 40545044

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6371

6371 = 23 x 277

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

LCM = 40545044 = 2 x 2 x 23 x 37 x 43 x 277

Step 4: Therefore, the least common multiple of 6364 and 6371 is 40545044.