Least Common Multiple of 8348 and 8352

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 8352 the smallest integer that is 17430624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8352 is 17430624.

LCM(8348,8352) = 17430624

LCM of 8348 and 8352

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

LCM of:
and

Least Common Multiple of 8348 and 8352

LCM of 8348 and 8352 is 17430624

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8352. First we will calculate the prime factors of 8348 and 8352.

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 8352


2 8352
2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 8352 are 2, 3,29. Prime factorization of 8352 in exponential form is:

8352 = 25×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8348 and 8352.

LCM(8348,8352) = 25×32×291×20871
LCM(8348,8352) = 17430624

Factors of 8348

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

1, 2, 4, 2087, 4174, 8348

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352

Least Common Multiple of 8348 and 8352 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 8352, than apply into the LCM equation.

GCF(8348,8352) = 4
LCM(8348,8352) = ( 8348 × 8352) / 4
LCM(8348,8352) = 69722496 / 4
LCM(8348,8352) = 17430624

Properties of LCM 8348 and 8352

(i) The LCM of 8352 and 8348 is associative

LCM of 8348 and 8352 = LCM of 8352 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8352

Frequently Asked Questions on LCM of 8348 and 8352

1. What is the LCM of 8348 and 8352?

Answer: LCM of 8348 and 8352 is 17430624.

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 8352?

Answer: Factors of 8352 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352. There are 36 integers that are factors of 8352. The greatest factor of 8352 is 8352.

4. How to Find the LCM of 8348 and 8352?

Answer:

Least Common Multiple of 8348 and 8352 = 17430624

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

Step 2: Find the prime factorization of 8352

8352 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29

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

LCM = 17430624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 2087

Step 4: Therefore, the least common multiple of 8348 and 8352 is 17430624.