Least Common Multiple of 8100 and 8104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8100 and 8104 the smallest integer that is 16410600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8100 and 8104 is 16410600.

LCM(8100,8104) = 16410600

LCM of 8100 and 8104

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

LCM of:
and

Least Common Multiple of 8100 and 8104

LCM of 8100 and 8104 is 16410600

Least common multiple can be found by multiplying the highest exponent prime factors of 8100 and 8104. First we will calculate the prime factors of 8100 and 8104.

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

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 8100 and 8104.

LCM(8100,8104) = 23×34×52×10131
LCM(8100,8104) = 16410600

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

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1, 2, 4, 8, 1013, 2026, 4052, 8104

Least Common Multiple of 8100 and 8104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8100 and 8104, than apply into the LCM equation.

GCF(8100,8104) = 4
LCM(8100,8104) = ( 8100 × 8104) / 4
LCM(8100,8104) = 65642400 / 4
LCM(8100,8104) = 16410600

Properties of LCM 8100 and 8104

(i) The LCM of 8104 and 8100 is associative

LCM of 8100 and 8104 = LCM of 8104 and 8100

Related Least Common Multiples of 8100

Related Least Common Multiples of 8104

Frequently Asked Questions on LCM of 8100 and 8104

1. What is the LCM of 8100 and 8104?

Answer: LCM of 8100 and 8104 is 16410600.

2. 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.

3. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

4. How to Find the LCM of 8100 and 8104?

Answer:

Least Common Multiple of 8100 and 8104 = 16410600

Step 1: Find the prime factorization of 8100

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

Step 2: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

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

LCM = 16410600 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 1013

Step 4: Therefore, the least common multiple of 8100 and 8104 is 16410600.