Least Common Multiple of 6372 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 6372 and 6377 the smallest integer that is 40634244 that is divisible by both numbers.

Least Common Multiple (LCM) of 6372 and 6377 is 40634244.

LCM(6372,6377) = 40634244

LCM of 6372 and 6377

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

LCM of:
and

Least Common Multiple of 6372 and 6377

LCM of 6372 and 6377 is 40634244

Least common multiple can be found by multiplying the highest exponent prime factors of 6372 and 6377. First we will calculate the prime factors of 6372 and 6377.

Prime Factorization of 6372


2 6372
2 3186
3 1593
3 531
3 177
59 59
1

Prime factors of 6372 are 2, 3,59. Prime factorization of 6372 in exponential form is:

6372 = 22×33×591

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 6372 and 6377.

LCM(6372,6377) = 22×33×71×591×9111
LCM(6372,6377) = 40634244

Factors of 6372

List of positive integer factors of 6372 that divides 6372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372

Factors of 6377

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

1, 7, 911, 6377

Least Common Multiple of 6372 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 6372 and 6377, than apply into the LCM equation.

GCF(6372,6377) = 1
LCM(6372,6377) = ( 6372 × 6377) / 1
LCM(6372,6377) = 40634244 / 1
LCM(6372,6377) = 40634244

Properties of LCM 6372 and 6377

(i) The LCM of 6377 and 6372 is associative

LCM of 6372 and 6377 = LCM of 6377 and 6372

Related Least Common Multiples of 6372

Related Least Common Multiples of 6377

Frequently Asked Questions on LCM of 6372 and 6377

1. What is the LCM of 6372 and 6377?

Answer: LCM of 6372 and 6377 is 40634244.

2. What are the Factors of 6372?

Answer: Factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372. There are 24 integers that are factors of 6372. The greatest factor of 6372 is 6372.

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 6372 and 6377?

Answer:

Least Common Multiple of 6372 and 6377 = 40634244

Step 1: Find the prime factorization of 6372

6372 = 2 x 2 x 3 x 3 x 3 x 59

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 = 40634244 = 2 x 2 x 3 x 3 x 3 x 7 x 59 x 911

Step 4: Therefore, the least common multiple of 6372 and 6377 is 40634244.