Least Common Multiple of 82377 and 82381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82377 and 82381 the smallest integer that is 6786299637 that is divisible by both numbers.

Least Common Multiple (LCM) of 82377 and 82381 is 6786299637.

LCM(82377,82381) = 6786299637

LCM of 82377 and 82381

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

LCM of:
and

Least Common Multiple of 82377 and 82381

LCM of 82377 and 82381 is 6786299637

Least common multiple can be found by multiplying the highest exponent prime factors of 82377 and 82381. First we will calculate the prime factors of 82377 and 82381.

Prime Factorization of 82377


3 82377
3 27459
3 9153
3 3051
3 1017
3 339
113 113
1

Prime factors of 82377 are 3,113. Prime factorization of 82377 in exponential form is:

82377 = 36×1131

Prime Factorization of 82381


13 82381
6337 6337
1

Prime factors of 82381 are 13,6337. Prime factorization of 82381 in exponential form is:

82381 = 131×63371

Now multiplying the highest exponent prime factors to calculate the LCM of 82377 and 82381.

LCM(82377,82381) = 36×131×1131×63371
LCM(82377,82381) = 6786299637

Factors of 82377

List of positive integer factors of 82377 that divides 82377 without a remainder.

1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459, 82377

Factors of 82381

List of positive integer factors of 82381 that divides 82381 without a remainder.

1, 13, 6337, 82381

Least Common Multiple of 82377 and 82381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82377 and 82381, than apply into the LCM equation.

GCF(82377,82381) = 1
LCM(82377,82381) = ( 82377 × 82381) / 1
LCM(82377,82381) = 6786299637 / 1
LCM(82377,82381) = 6786299637

Properties of LCM 82377 and 82381

(i) The LCM of 82381 and 82377 is associative

LCM of 82377 and 82381 = LCM of 82381 and 82377

Related Least Common Multiples of 82377

Related Least Common Multiples of 82381

Frequently Asked Questions on LCM of 82377 and 82381

1. What is the LCM of 82377 and 82381?

Answer: LCM of 82377 and 82381 is 6786299637.

2. What are the Factors of 82377?

Answer: Factors of 82377 are 1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459, 82377. There are 14 integers that are factors of 82377. The greatest factor of 82377 is 82377.

3. What are the Factors of 82381?

Answer: Factors of 82381 are 1, 13, 6337, 82381. There are 4 integers that are factors of 82381. The greatest factor of 82381 is 82381.

4. How to Find the LCM of 82377 and 82381?

Answer:

Least Common Multiple of 82377 and 82381 = 6786299637

Step 1: Find the prime factorization of 82377

82377 = 3 x 3 x 3 x 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 82381

82381 = 13 x 6337

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

LCM = 6786299637 = 3 x 3 x 3 x 3 x 3 x 3 x 13 x 113 x 6337

Step 4: Therefore, the least common multiple of 82377 and 82381 is 6786299637.