Least Common Multiple of 8195 and 8200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8195 and 8200 the smallest integer that is 13439800 that is divisible by both numbers.

Least Common Multiple (LCM) of 8195 and 8200 is 13439800.

LCM(8195,8200) = 13439800

LCM of 8195 and 8200

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

LCM of:
and

Least Common Multiple of 8195 and 8200

LCM of 8195 and 8200 is 13439800

Least common multiple can be found by multiplying the highest exponent prime factors of 8195 and 8200. First we will calculate the prime factors of 8195 and 8200.

Prime Factorization of 8195


5 8195
11 1639
149 149
1

Prime factors of 8195 are 5, 11,149. Prime factorization of 8195 in exponential form is:

8195 = 51×111×1491

Prime Factorization of 8200


2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 8200 are 2, 5,41. Prime factorization of 8200 in exponential form is:

8200 = 23×52×411

Now multiplying the highest exponent prime factors to calculate the LCM of 8195 and 8200.

LCM(8195,8200) = 23×52×111×411×1491
LCM(8195,8200) = 13439800

Factors of 8195

List of positive integer factors of 8195 that divides 8195 without a remainder.

1, 5, 11, 55, 149, 745, 1639, 8195

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

Least Common Multiple of 8195 and 8200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8195 and 8200, than apply into the LCM equation.

GCF(8195,8200) = 5
LCM(8195,8200) = ( 8195 × 8200) / 5
LCM(8195,8200) = 67199000 / 5
LCM(8195,8200) = 13439800

Properties of LCM 8195 and 8200

(i) The LCM of 8200 and 8195 is associative

LCM of 8195 and 8200 = LCM of 8200 and 8195

Related Least Common Multiples of 8195

Related Least Common Multiples of 8200

Frequently Asked Questions on LCM of 8195 and 8200

1. What is the LCM of 8195 and 8200?

Answer: LCM of 8195 and 8200 is 13439800.

2. What are the Factors of 8195?

Answer: Factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195. There are 8 integers that are factors of 8195. The greatest factor of 8195 is 8195.

3. What are the Factors of 8200?

Answer: Factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200. There are 24 integers that are factors of 8200. The greatest factor of 8200 is 8200.

4. How to Find the LCM of 8195 and 8200?

Answer:

Least Common Multiple of 8195 and 8200 = 13439800

Step 1: Find the prime factorization of 8195

8195 = 5 x 11 x 149

Step 2: Find the prime factorization of 8200

8200 = 2 x 2 x 2 x 5 x 5 x 41

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

LCM = 13439800 = 2 x 2 x 2 x 5 x 5 x 11 x 41 x 149

Step 4: Therefore, the least common multiple of 8195 and 8200 is 13439800.