Least Common Multiple of 8386 and 8393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8386 and 8393 the smallest integer that is 10054814 that is divisible by both numbers.

Least Common Multiple (LCM) of 8386 and 8393 is 10054814.

LCM(8386,8393) = 10054814

LCM of 8386 and 8393

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

LCM of:
and

Least Common Multiple of 8386 and 8393

LCM of 8386 and 8393 is 10054814

Least common multiple can be found by multiplying the highest exponent prime factors of 8386 and 8393. First we will calculate the prime factors of 8386 and 8393.

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

Prime Factorization of 8393


7 8393
11 1199
109 109
1

Prime factors of 8393 are 7, 11,109. Prime factorization of 8393 in exponential form is:

8393 = 71×111×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8386 and 8393.

LCM(8386,8393) = 21×71×111×1091×5991
LCM(8386,8393) = 10054814

Factors of 8386

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

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

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1, 7, 11, 77, 109, 763, 1199, 8393

Least Common Multiple of 8386 and 8393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8386 and 8393, than apply into the LCM equation.

GCF(8386,8393) = 7
LCM(8386,8393) = ( 8386 × 8393) / 7
LCM(8386,8393) = 70383698 / 7
LCM(8386,8393) = 10054814

Properties of LCM 8386 and 8393

(i) The LCM of 8393 and 8386 is associative

LCM of 8386 and 8393 = LCM of 8393 and 8386

Related Least Common Multiples of 8386

Related Least Common Multiples of 8393

Frequently Asked Questions on LCM of 8386 and 8393

1. What is the LCM of 8386 and 8393?

Answer: LCM of 8386 and 8393 is 10054814.

2. 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.

3. What are the Factors of 8393?

Answer: Factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393. There are 8 integers that are factors of 8393. The greatest factor of 8393 is 8393.

4. How to Find the LCM of 8386 and 8393?

Answer:

Least Common Multiple of 8386 and 8393 = 10054814

Step 1: Find the prime factorization of 8386

8386 = 2 x 7 x 599

Step 2: Find the prime factorization of 8393

8393 = 7 x 11 x 109

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

LCM = 10054814 = 2 x 7 x 11 x 109 x 599

Step 4: Therefore, the least common multiple of 8386 and 8393 is 10054814.