Least Common Multiple of 6373 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 6373 and 6377 the smallest integer that is 40640621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6373 and 6377 is 40640621.

LCM(6373,6377) = 40640621

LCM of 6373 and 6377

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

LCM of:
and

Least Common Multiple of 6373 and 6377

LCM of 6373 and 6377 is 40640621

Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6377. First we will calculate the prime factors of 6373 and 6377.

Prime Factorization of 6373


6373 6373
1

Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:

6373 = 63731

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 6373 and 6377.

LCM(6373,6377) = 71×9111×63731
LCM(6373,6377) = 40640621

Factors of 6373

List of positive integer factors of 6373 that divides 6373 without a remainder.

1, 6373

Factors of 6377

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

1, 7, 911, 6377

Least Common Multiple of 6373 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 6373 and 6377, than apply into the LCM equation.

GCF(6373,6377) = 1
LCM(6373,6377) = ( 6373 × 6377) / 1
LCM(6373,6377) = 40640621 / 1
LCM(6373,6377) = 40640621

Properties of LCM 6373 and 6377

(i) The LCM of 6377 and 6373 is associative

LCM of 6373 and 6377 = LCM of 6377 and 6373

Related Least Common Multiples of 6373

Related Least Common Multiples of 6377

Frequently Asked Questions on LCM of 6373 and 6377

1. What is the LCM of 6373 and 6377?

Answer: LCM of 6373 and 6377 is 40640621.

2. What are the Factors of 6373?

Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.

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 6373 and 6377?

Answer:

Least Common Multiple of 6373 and 6377 = 40640621

Step 1: Find the prime factorization of 6373

6373 = 6373

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 = 40640621 = 7 x 911 x 6373

Step 4: Therefore, the least common multiple of 6373 and 6377 is 40640621.