Least Common Multiple of 8094 and 8100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8094 and 8100 the smallest integer that is 10926900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8094 and 8100 is 10926900.

LCM(8094,8100) = 10926900

LCM of 8094 and 8100

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

LCM of:
and

Least Common Multiple of 8094 and 8100

LCM of 8094 and 8100 is 10926900

Least common multiple can be found by multiplying the highest exponent prime factors of 8094 and 8100. First we will calculate the prime factors of 8094 and 8100.

Prime Factorization of 8094


2 8094
3 4047
19 1349
71 71
1

Prime factors of 8094 are 2, 3, 19,71. Prime factorization of 8094 in exponential form is:

8094 = 21×31×191×711

Prime Factorization of 8100


2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 8100 are 2, 3,5. Prime factorization of 8100 in exponential form is:

8100 = 22×34×52

Now multiplying the highest exponent prime factors to calculate the LCM of 8094 and 8100.

LCM(8094,8100) = 22×34×52×191×711
LCM(8094,8100) = 10926900

Factors of 8094

List of positive integer factors of 8094 that divides 8094 without a remainder.

1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094

Factors of 8100

List of positive integer factors of 8100 that divides 8100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100

Least Common Multiple of 8094 and 8100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8094 and 8100, than apply into the LCM equation.

GCF(8094,8100) = 6
LCM(8094,8100) = ( 8094 × 8100) / 6
LCM(8094,8100) = 65561400 / 6
LCM(8094,8100) = 10926900

Properties of LCM 8094 and 8100

(i) The LCM of 8100 and 8094 is associative

LCM of 8094 and 8100 = LCM of 8100 and 8094

Related Least Common Multiples of 8094

Related Least Common Multiples of 8100

Frequently Asked Questions on LCM of 8094 and 8100

1. What is the LCM of 8094 and 8100?

Answer: LCM of 8094 and 8100 is 10926900.

2. What are the Factors of 8094?

Answer: Factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094. There are 16 integers that are factors of 8094. The greatest factor of 8094 is 8094.

3. What are the Factors of 8100?

Answer: Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100. There are 45 integers that are factors of 8100. The greatest factor of 8100 is 8100.

4. How to Find the LCM of 8094 and 8100?

Answer:

Least Common Multiple of 8094 and 8100 = 10926900

Step 1: Find the prime factorization of 8094

8094 = 2 x 3 x 19 x 71

Step 2: Find the prime factorization of 8100

8100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5

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

LCM = 10926900 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 8094 and 8100 is 10926900.