Least Common Multiple of 82360 and 82366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82360 and 82366 the smallest integer that is 3391831880 that is divisible by both numbers.

Least Common Multiple (LCM) of 82360 and 82366 is 3391831880.

LCM(82360,82366) = 3391831880

LCM of 82360 and 82366

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

LCM of:
and

Least Common Multiple of 82360 and 82366

LCM of 82360 and 82366 is 3391831880

Least common multiple can be found by multiplying the highest exponent prime factors of 82360 and 82366. First we will calculate the prime factors of 82360 and 82366.

Prime Factorization of 82360


2 82360
2 41180
2 20590
5 10295
29 2059
71 71
1

Prime factors of 82360 are 2, 5, 29,71. Prime factorization of 82360 in exponential form is:

82360 = 23×51×291×711

Prime Factorization of 82366


2 82366
41183 41183
1

Prime factors of 82366 are 2,41183. Prime factorization of 82366 in exponential form is:

82366 = 21×411831

Now multiplying the highest exponent prime factors to calculate the LCM of 82360 and 82366.

LCM(82360,82366) = 23×51×291×711×411831
LCM(82360,82366) = 3391831880

Factors of 82360

List of positive integer factors of 82360 that divides 82360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 71, 116, 142, 145, 232, 284, 290, 355, 568, 580, 710, 1160, 1420, 2059, 2840, 4118, 8236, 10295, 16472, 20590, 41180, 82360

Factors of 82366

List of positive integer factors of 82366 that divides 82366 without a remainder.

1, 2, 41183, 82366

Least Common Multiple of 82360 and 82366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82360 and 82366, than apply into the LCM equation.

GCF(82360,82366) = 2
LCM(82360,82366) = ( 82360 × 82366) / 2
LCM(82360,82366) = 6783663760 / 2
LCM(82360,82366) = 3391831880

Properties of LCM 82360 and 82366

(i) The LCM of 82366 and 82360 is associative

LCM of 82360 and 82366 = LCM of 82366 and 82360

Related Least Common Multiples of 82360

Related Least Common Multiples of 82366

Frequently Asked Questions on LCM of 82360 and 82366

1. What is the LCM of 82360 and 82366?

Answer: LCM of 82360 and 82366 is 3391831880.

2. What are the Factors of 82360?

Answer: Factors of 82360 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 71, 116, 142, 145, 232, 284, 290, 355, 568, 580, 710, 1160, 1420, 2059, 2840, 4118, 8236, 10295, 16472, 20590, 41180, 82360. There are 32 integers that are factors of 82360. The greatest factor of 82360 is 82360.

3. What are the Factors of 82366?

Answer: Factors of 82366 are 1, 2, 41183, 82366. There are 4 integers that are factors of 82366. The greatest factor of 82366 is 82366.

4. How to Find the LCM of 82360 and 82366?

Answer:

Least Common Multiple of 82360 and 82366 = 3391831880

Step 1: Find the prime factorization of 82360

82360 = 2 x 2 x 2 x 5 x 29 x 71

Step 2: Find the prime factorization of 82366

82366 = 2 x 41183

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

LCM = 3391831880 = 2 x 2 x 2 x 5 x 29 x 71 x 41183

Step 4: Therefore, the least common multiple of 82360 and 82366 is 3391831880.