Least Common Multiple of 82372 and 82377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82372 and 82377 the smallest integer that is 6785558244 that is divisible by both numbers.

Least Common Multiple (LCM) of 82372 and 82377 is 6785558244.

LCM(82372,82377) = 6785558244

LCM of 82372 and 82377

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

LCM of:
and

Least Common Multiple of 82372 and 82377

LCM of 82372 and 82377 is 6785558244

Least common multiple can be found by multiplying the highest exponent prime factors of 82372 and 82377. First we will calculate the prime factors of 82372 and 82377.

Prime Factorization of 82372


2 82372
2 41186
20593 20593
1

Prime factors of 82372 are 2,20593. Prime factorization of 82372 in exponential form is:

82372 = 22×205931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 82372 and 82377.

LCM(82372,82377) = 22×36×1131×205931
LCM(82372,82377) = 6785558244

Factors of 82372

List of positive integer factors of 82372 that divides 82372 without a remainder.

1, 2, 4, 20593, 41186, 82372

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

Least Common Multiple of 82372 and 82377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82372 and 82377, than apply into the LCM equation.

GCF(82372,82377) = 1
LCM(82372,82377) = ( 82372 × 82377) / 1
LCM(82372,82377) = 6785558244 / 1
LCM(82372,82377) = 6785558244

Properties of LCM 82372 and 82377

(i) The LCM of 82377 and 82372 is associative

LCM of 82372 and 82377 = LCM of 82377 and 82372

Related Least Common Multiples of 82372

Related Least Common Multiples of 82377

Frequently Asked Questions on LCM of 82372 and 82377

1. What is the LCM of 82372 and 82377?

Answer: LCM of 82372 and 82377 is 6785558244.

2. What are the Factors of 82372?

Answer: Factors of 82372 are 1, 2, 4, 20593, 41186, 82372. There are 6 integers that are factors of 82372. The greatest factor of 82372 is 82372.

3. 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.

4. How to Find the LCM of 82372 and 82377?

Answer:

Least Common Multiple of 82372 and 82377 = 6785558244

Step 1: Find the prime factorization of 82372

82372 = 2 x 2 x 20593

Step 2: Find the prime factorization of 82377

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

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

LCM = 6785558244 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 113 x 20593

Step 4: Therefore, the least common multiple of 82372 and 82377 is 6785558244.