Least Common Multiple of 6367 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 6367 and 6371 the smallest integer that is 40564157 that is divisible by both numbers.

Least Common Multiple (LCM) of 6367 and 6371 is 40564157.

LCM(6367,6371) = 40564157

LCM of 6367 and 6371

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

LCM of:
and

Least Common Multiple of 6367 and 6371

LCM of 6367 and 6371 is 40564157

Least common multiple can be found by multiplying the highest exponent prime factors of 6367 and 6371. First we will calculate the prime factors of 6367 and 6371.

Prime Factorization of 6367


6367 6367
1

Prime factors of 6367 are 6367. Prime factorization of 6367 in exponential form is:

6367 = 63671

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 6367 and 6371.

LCM(6367,6371) = 231×2771×63671
LCM(6367,6371) = 40564157

Factors of 6367

List of positive integer factors of 6367 that divides 6367 without a remainder.

1, 6367

Factors of 6371

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

1, 23, 277, 6371

Least Common Multiple of 6367 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 6367 and 6371, than apply into the LCM equation.

GCF(6367,6371) = 1
LCM(6367,6371) = ( 6367 × 6371) / 1
LCM(6367,6371) = 40564157 / 1
LCM(6367,6371) = 40564157

Properties of LCM 6367 and 6371

(i) The LCM of 6371 and 6367 is associative

LCM of 6367 and 6371 = LCM of 6371 and 6367

Related Least Common Multiples of 6367

Related Least Common Multiples of 6371

Frequently Asked Questions on LCM of 6367 and 6371

1. What is the LCM of 6367 and 6371?

Answer: LCM of 6367 and 6371 is 40564157.

2. What are the Factors of 6367?

Answer: Factors of 6367 are 1, 6367. There are 2 integers that are factors of 6367. The greatest factor of 6367 is 6367.

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 6367 and 6371?

Answer:

Least Common Multiple of 6367 and 6371 = 40564157

Step 1: Find the prime factorization of 6367

6367 = 6367

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 = 40564157 = 23 x 277 x 6367

Step 4: Therefore, the least common multiple of 6367 and 6371 is 40564157.