Least Common Multiple of 6371 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 6371 and 6377 the smallest integer that is 40627867 that is divisible by both numbers.

Least Common Multiple (LCM) of 6371 and 6377 is 40627867.

LCM(6371,6377) = 40627867

LCM of 6371 and 6377

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

LCM of:
and

Least Common Multiple of 6371 and 6377

LCM of 6371 and 6377 is 40627867

Least common multiple can be found by multiplying the highest exponent prime factors of 6371 and 6377. First we will calculate the prime factors of 6371 and 6377.

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

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 6371 and 6377.

LCM(6371,6377) = 71×231×2771×9111
LCM(6371,6377) = 40627867

Factors of 6371

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

1, 23, 277, 6371

Factors of 6377

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

1, 7, 911, 6377

Least Common Multiple of 6371 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 6371 and 6377, than apply into the LCM equation.

GCF(6371,6377) = 1
LCM(6371,6377) = ( 6371 × 6377) / 1
LCM(6371,6377) = 40627867 / 1
LCM(6371,6377) = 40627867

Properties of LCM 6371 and 6377

(i) The LCM of 6377 and 6371 is associative

LCM of 6371 and 6377 = LCM of 6377 and 6371

Related Least Common Multiples of 6371

Related Least Common Multiples of 6377

Frequently Asked Questions on LCM of 6371 and 6377

1. What is the LCM of 6371 and 6377?

Answer: LCM of 6371 and 6377 is 40627867.

2. 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.

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 6371 and 6377?

Answer:

Least Common Multiple of 6371 and 6377 = 40627867

Step 1: Find the prime factorization of 6371

6371 = 23 x 277

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 = 40627867 = 7 x 23 x 277 x 911

Step 4: Therefore, the least common multiple of 6371 and 6377 is 40627867.