Least Common Multiple of 8348 and 8356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8348 and 8356 the smallest integer that is 17438972 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8356 is 17438972.

LCM(8348,8356) = 17438972

LCM of 8348 and 8356

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

LCM of:
and

Least Common Multiple of 8348 and 8356

LCM of 8348 and 8356 is 17438972

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8356. First we will calculate the prime factors of 8348 and 8356.

Prime Factorization of 8348


2 8348
2 4174
2087 2087
1

Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:

8348 = 22×20871

Prime Factorization of 8356


2 8356
2 4178
2089 2089
1

Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:

8356 = 22×20891

Now multiplying the highest exponent prime factors to calculate the LCM of 8348 and 8356.

LCM(8348,8356) = 22×20871×20891
LCM(8348,8356) = 17438972

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1, 2, 4, 2087, 4174, 8348

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1, 2, 4, 2089, 4178, 8356

Least Common Multiple of 8348 and 8356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8348 and 8356, than apply into the LCM equation.

GCF(8348,8356) = 4
LCM(8348,8356) = ( 8348 × 8356) / 4
LCM(8348,8356) = 69755888 / 4
LCM(8348,8356) = 17438972

Properties of LCM 8348 and 8356

(i) The LCM of 8356 and 8348 is associative

LCM of 8348 and 8356 = LCM of 8356 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8356

Frequently Asked Questions on LCM of 8348 and 8356

1. What is the LCM of 8348 and 8356?

Answer: LCM of 8348 and 8356 is 17438972.

2. What are the Factors of 8348?

Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.

3. What are the Factors of 8356?

Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.

4. How to Find the LCM of 8348 and 8356?

Answer:

Least Common Multiple of 8348 and 8356 = 17438972

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

Step 2: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

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

LCM = 17438972 = 2 x 2 x 2087 x 2089

Step 4: Therefore, the least common multiple of 8348 and 8356 is 17438972.