Least Common Multiple of 82340 and 82346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82340 and 82346 the smallest integer that is 3390184820 that is divisible by both numbers.

Least Common Multiple (LCM) of 82340 and 82346 is 3390184820.

LCM(82340,82346) = 3390184820

LCM of 82340 and 82346

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

LCM of:
and

Least Common Multiple of 82340 and 82346

LCM of 82340 and 82346 is 3390184820

Least common multiple can be found by multiplying the highest exponent prime factors of 82340 and 82346. First we will calculate the prime factors of 82340 and 82346.

Prime Factorization of 82340


2 82340
2 41170
5 20585
23 4117
179 179
1

Prime factors of 82340 are 2, 5, 23,179. Prime factorization of 82340 in exponential form is:

82340 = 22×51×231×1791

Prime Factorization of 82346


2 82346
11 41173
19 3743
197 197
1

Prime factors of 82346 are 2, 11, 19,197. Prime factorization of 82346 in exponential form is:

82346 = 21×111×191×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 82340 and 82346.

LCM(82340,82346) = 22×51×111×191×231×1791×1971
LCM(82340,82346) = 3390184820

Factors of 82340

List of positive integer factors of 82340 that divides 82340 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170, 82340

Factors of 82346

List of positive integer factors of 82346 that divides 82346 without a remainder.

1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346

Least Common Multiple of 82340 and 82346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82340 and 82346, than apply into the LCM equation.

GCF(82340,82346) = 2
LCM(82340,82346) = ( 82340 × 82346) / 2
LCM(82340,82346) = 6780369640 / 2
LCM(82340,82346) = 3390184820

Properties of LCM 82340 and 82346

(i) The LCM of 82346 and 82340 is associative

LCM of 82340 and 82346 = LCM of 82346 and 82340

Related Least Common Multiples of 82340

Related Least Common Multiples of 82346

Frequently Asked Questions on LCM of 82340 and 82346

1. What is the LCM of 82340 and 82346?

Answer: LCM of 82340 and 82346 is 3390184820.

2. What are the Factors of 82340?

Answer: Factors of 82340 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170, 82340. There are 24 integers that are factors of 82340. The greatest factor of 82340 is 82340.

3. What are the Factors of 82346?

Answer: Factors of 82346 are 1, 2, 11, 19, 22, 38, 197, 209, 394, 418, 2167, 3743, 4334, 7486, 41173, 82346. There are 16 integers that are factors of 82346. The greatest factor of 82346 is 82346.

4. How to Find the LCM of 82340 and 82346?

Answer:

Least Common Multiple of 82340 and 82346 = 3390184820

Step 1: Find the prime factorization of 82340

82340 = 2 x 2 x 5 x 23 x 179

Step 2: Find the prime factorization of 82346

82346 = 2 x 11 x 19 x 197

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

LCM = 3390184820 = 2 x 2 x 5 x 11 x 19 x 23 x 179 x 197

Step 4: Therefore, the least common multiple of 82340 and 82346 is 3390184820.