Least Common Multiple of 8392 and 8400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8392 and 8400 the smallest integer that is 8811600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8392 and 8400 is 8811600.

LCM(8392,8400) = 8811600

LCM of 8392 and 8400

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

LCM of:
and

Least Common Multiple of 8392 and 8400

LCM of 8392 and 8400 is 8811600

Least common multiple can be found by multiplying the highest exponent prime factors of 8392 and 8400. First we will calculate the prime factors of 8392 and 8400.

Prime Factorization of 8392


2 8392
2 4196
2 2098
1049 1049
1

Prime factors of 8392 are 2,1049. Prime factorization of 8392 in exponential form is:

8392 = 23×10491

Prime Factorization of 8400


2 8400
2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 8400 are 2, 3, 5,7. Prime factorization of 8400 in exponential form is:

8400 = 24×31×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8392 and 8400.

LCM(8392,8400) = 24×31×52×71×10491
LCM(8392,8400) = 8811600

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1, 2, 4, 8, 1049, 2098, 4196, 8392

Factors of 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400

Least Common Multiple of 8392 and 8400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8392 and 8400, than apply into the LCM equation.

GCF(8392,8400) = 8
LCM(8392,8400) = ( 8392 × 8400) / 8
LCM(8392,8400) = 70492800 / 8
LCM(8392,8400) = 8811600

Properties of LCM 8392 and 8400

(i) The LCM of 8400 and 8392 is associative

LCM of 8392 and 8400 = LCM of 8400 and 8392

Related Least Common Multiples of 8392

Related Least Common Multiples of 8400

Frequently Asked Questions on LCM of 8392 and 8400

1. What is the LCM of 8392 and 8400?

Answer: LCM of 8392 and 8400 is 8811600.

2. What are the Factors of 8392?

Answer: Factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392. There are 8 integers that are factors of 8392. The greatest factor of 8392 is 8392.

3. What are the Factors of 8400?

Answer: Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. There are 60 integers that are factors of 8400. The greatest factor of 8400 is 8400.

4. How to Find the LCM of 8392 and 8400?

Answer:

Least Common Multiple of 8392 and 8400 = 8811600

Step 1: Find the prime factorization of 8392

8392 = 2 x 2 x 2 x 1049

Step 2: Find the prime factorization of 8400

8400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7

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

LCM = 8811600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 1049

Step 4: Therefore, the least common multiple of 8392 and 8400 is 8811600.