Least Common Multiple of 82354 and 82360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82354 and 82360 the smallest integer that is 3391337720 that is divisible by both numbers.

Least Common Multiple (LCM) of 82354 and 82360 is 3391337720.

LCM(82354,82360) = 3391337720

LCM of 82354 and 82360

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

LCM of:
and

Least Common Multiple of 82354 and 82360

LCM of 82354 and 82360 is 3391337720

Least common multiple can be found by multiplying the highest exponent prime factors of 82354 and 82360. First we will calculate the prime factors of 82354 and 82360.

Prime Factorization of 82354


2 82354
41177 41177
1

Prime factors of 82354 are 2,41177. Prime factorization of 82354 in exponential form is:

82354 = 21×411771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 82354 and 82360.

LCM(82354,82360) = 23×51×291×711×411771
LCM(82354,82360) = 3391337720

Factors of 82354

List of positive integer factors of 82354 that divides 82354 without a remainder.

1, 2, 41177, 82354

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

Least Common Multiple of 82354 and 82360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82354 and 82360, than apply into the LCM equation.

GCF(82354,82360) = 2
LCM(82354,82360) = ( 82354 × 82360) / 2
LCM(82354,82360) = 6782675440 / 2
LCM(82354,82360) = 3391337720

Properties of LCM 82354 and 82360

(i) The LCM of 82360 and 82354 is associative

LCM of 82354 and 82360 = LCM of 82360 and 82354

Related Least Common Multiples of 82354

Related Least Common Multiples of 82360

Frequently Asked Questions on LCM of 82354 and 82360

1. What is the LCM of 82354 and 82360?

Answer: LCM of 82354 and 82360 is 3391337720.

2. What are the Factors of 82354?

Answer: Factors of 82354 are 1, 2, 41177, 82354. There are 4 integers that are factors of 82354. The greatest factor of 82354 is 82354.

3. 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.

4. How to Find the LCM of 82354 and 82360?

Answer:

Least Common Multiple of 82354 and 82360 = 3391337720

Step 1: Find the prime factorization of 82354

82354 = 2 x 41177

Step 2: Find the prime factorization of 82360

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

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

LCM = 3391337720 = 2 x 2 x 2 x 5 x 29 x 71 x 41177

Step 4: Therefore, the least common multiple of 82354 and 82360 is 3391337720.