Least Common Multiple of 8382 and 8386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8382 and 8386 the smallest integer that is 35145726 that is divisible by both numbers.

Least Common Multiple (LCM) of 8382 and 8386 is 35145726.

LCM(8382,8386) = 35145726

LCM of 8382 and 8386

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

LCM of:
and

Least Common Multiple of 8382 and 8386

LCM of 8382 and 8386 is 35145726

Least common multiple can be found by multiplying the highest exponent prime factors of 8382 and 8386. First we will calculate the prime factors of 8382 and 8386.

Prime Factorization of 8382


2 8382
3 4191
11 1397
127 127
1

Prime factors of 8382 are 2, 3, 11,127. Prime factorization of 8382 in exponential form is:

8382 = 21×31×111×1271

Prime Factorization of 8386


2 8386
7 4193
599 599
1

Prime factors of 8386 are 2, 7,599. Prime factorization of 8386 in exponential form is:

8386 = 21×71×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 8382 and 8386.

LCM(8382,8386) = 21×31×71×111×1271×5991
LCM(8382,8386) = 35145726

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1, 2, 7, 14, 599, 1198, 4193, 8386

Least Common Multiple of 8382 and 8386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8382 and 8386, than apply into the LCM equation.

GCF(8382,8386) = 2
LCM(8382,8386) = ( 8382 × 8386) / 2
LCM(8382,8386) = 70291452 / 2
LCM(8382,8386) = 35145726

Properties of LCM 8382 and 8386

(i) The LCM of 8386 and 8382 is associative

LCM of 8382 and 8386 = LCM of 8386 and 8382

Related Least Common Multiples of 8382

Related Least Common Multiples of 8386

Frequently Asked Questions on LCM of 8382 and 8386

1. What is the LCM of 8382 and 8386?

Answer: LCM of 8382 and 8386 is 35145726.

2. What are the Factors of 8382?

Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.

3. What are the Factors of 8386?

Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.

4. How to Find the LCM of 8382 and 8386?

Answer:

Least Common Multiple of 8382 and 8386 = 35145726

Step 1: Find the prime factorization of 8382

8382 = 2 x 3 x 11 x 127

Step 2: Find the prime factorization of 8386

8386 = 2 x 7 x 599

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

LCM = 35145726 = 2 x 3 x 7 x 11 x 127 x 599

Step 4: Therefore, the least common multiple of 8382 and 8386 is 35145726.