Least Common Multiple of 8368 and 8372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8368 and 8372 the smallest integer that is 17514224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8368 and 8372 is 17514224.

LCM(8368,8372) = 17514224

LCM of 8368 and 8372

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

LCM of:
and

Least Common Multiple of 8368 and 8372

LCM of 8368 and 8372 is 17514224

Least common multiple can be found by multiplying the highest exponent prime factors of 8368 and 8372. First we will calculate the prime factors of 8368 and 8372.

Prime Factorization of 8368


2 8368
2 4184
2 2092
2 1046
523 523
1

Prime factors of 8368 are 2,523. Prime factorization of 8368 in exponential form is:

8368 = 24×5231

Prime Factorization of 8372


2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 8372 are 2, 7, 13,23. Prime factorization of 8372 in exponential form is:

8372 = 22×71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8368 and 8372.

LCM(8368,8372) = 24×71×131×231×5231
LCM(8368,8372) = 17514224

Factors of 8368

List of positive integer factors of 8368 that divides 8368 without a remainder.

1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368

Factors of 8372

List of positive integer factors of 8372 that divides 8372 without a remainder.

1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372

Least Common Multiple of 8368 and 8372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8368 and 8372, than apply into the LCM equation.

GCF(8368,8372) = 4
LCM(8368,8372) = ( 8368 × 8372) / 4
LCM(8368,8372) = 70056896 / 4
LCM(8368,8372) = 17514224

Properties of LCM 8368 and 8372

(i) The LCM of 8372 and 8368 is associative

LCM of 8368 and 8372 = LCM of 8372 and 8368

Related Least Common Multiples of 8368

Related Least Common Multiples of 8372

Frequently Asked Questions on LCM of 8368 and 8372

1. What is the LCM of 8368 and 8372?

Answer: LCM of 8368 and 8372 is 17514224.

2. What are the Factors of 8368?

Answer: Factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368. There are 10 integers that are factors of 8368. The greatest factor of 8368 is 8368.

3. What are the Factors of 8372?

Answer: Factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372. There are 24 integers that are factors of 8372. The greatest factor of 8372 is 8372.

4. How to Find the LCM of 8368 and 8372?

Answer:

Least Common Multiple of 8368 and 8372 = 17514224

Step 1: Find the prime factorization of 8368

8368 = 2 x 2 x 2 x 2 x 523

Step 2: Find the prime factorization of 8372

8372 = 2 x 2 x 7 x 13 x 23

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

LCM = 17514224 = 2 x 2 x 2 x 2 x 7 x 13 x 23 x 523

Step 4: Therefore, the least common multiple of 8368 and 8372 is 17514224.