Least Common Multiple of 8336 and 8344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8336 and 8344 the smallest integer that is 8694448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8336 and 8344 is 8694448.

LCM(8336,8344) = 8694448

LCM of 8336 and 8344

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

LCM of:
and

Least Common Multiple of 8336 and 8344

LCM of 8336 and 8344 is 8694448

Least common multiple can be found by multiplying the highest exponent prime factors of 8336 and 8344. First we will calculate the prime factors of 8336 and 8344.

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2, 7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8336 and 8344.

LCM(8336,8344) = 24×71×1491×5211
LCM(8336,8344) = 8694448

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344

Least Common Multiple of 8336 and 8344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8336 and 8344, than apply into the LCM equation.

GCF(8336,8344) = 8
LCM(8336,8344) = ( 8336 × 8344) / 8
LCM(8336,8344) = 69555584 / 8
LCM(8336,8344) = 8694448

Properties of LCM 8336 and 8344

(i) The LCM of 8344 and 8336 is associative

LCM of 8336 and 8344 = LCM of 8344 and 8336

Related Least Common Multiples of 8336

Related Least Common Multiples of 8344

Frequently Asked Questions on LCM of 8336 and 8344

1. What is the LCM of 8336 and 8344?

Answer: LCM of 8336 and 8344 is 8694448.

2. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

3. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

4. How to Find the LCM of 8336 and 8344?

Answer:

Least Common Multiple of 8336 and 8344 = 8694448

Step 1: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

Step 2: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

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

LCM = 8694448 = 2 x 2 x 2 x 2 x 7 x 149 x 521

Step 4: Therefore, the least common multiple of 8336 and 8344 is 8694448.