Least Common Multiple of 28200 and 28205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 28200 and 28205 the smallest integer that is 159076200 that is divisible by both numbers.

Least Common Multiple (LCM) of 28200 and 28205 is 159076200.

LCM(28200,28205) = 159076200

LCM of 28200 and 28205

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

LCM of:
and

Least Common Multiple of 28200 and 28205

LCM of 28200 and 28205 is 159076200

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28205. First we will calculate the prime factors of 28200 and 28205.

Prime Factorization of 28200


2 28200
2 14100
2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 28200 are 2, 3, 5,47. Prime factorization of 28200 in exponential form is:

28200 = 23×31×52×471

Prime Factorization of 28205


5 28205
5641 5641
1

Prime factors of 28205 are 5,5641. Prime factorization of 28205 in exponential form is:

28205 = 51×56411

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28205.

LCM(28200,28205) = 23×31×52×471×56411
LCM(28200,28205) = 159076200

Factors of 28200

List of positive integer factors of 28200 that divides 28200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 75, 94, 100, 120, 141, 150, 188, 200, 235, 282, 300, 376, 470, 564, 600, 705, 940, 1128, 1175, 1410, 1880, 2350, 2820, 3525, 4700, 5640, 7050, 9400, 14100, 28200

Factors of 28205

List of positive integer factors of 28205 that divides 28205 without a remainder.

1, 5, 5641, 28205

Least Common Multiple of 28200 and 28205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28200 and 28205, than apply into the LCM equation.

GCF(28200,28205) = 5
LCM(28200,28205) = ( 28200 × 28205) / 5
LCM(28200,28205) = 795381000 / 5
LCM(28200,28205) = 159076200

Properties of LCM 28200 and 28205

(i) The LCM of 28205 and 28200 is associative

LCM of 28200 and 28205 = LCM of 28205 and 28200

Related Least Common Multiples of 28200

Related Least Common Multiples of 28205

Frequently Asked Questions on LCM of 28200 and 28205

1. What is the LCM of 28200 and 28205?

Answer: LCM of 28200 and 28205 is 159076200.

2. What are the Factors of 28200?

Answer: Factors of 28200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 47, 50, 60, 75, 94, 100, 120, 141, 150, 188, 200, 235, 282, 300, 376, 470, 564, 600, 705, 940, 1128, 1175, 1410, 1880, 2350, 2820, 3525, 4700, 5640, 7050, 9400, 14100, 28200. There are 48 integers that are factors of 28200. The greatest factor of 28200 is 28200.

3. What are the Factors of 28205?

Answer: Factors of 28205 are 1, 5, 5641, 28205. There are 4 integers that are factors of 28205. The greatest factor of 28205 is 28205.

4. How to Find the LCM of 28200 and 28205?

Answer:

Least Common Multiple of 28200 and 28205 = 159076200

Step 1: Find the prime factorization of 28200

28200 = 2 x 2 x 2 x 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 28205

28205 = 5 x 5641

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

LCM = 159076200 = 2 x 2 x 2 x 3 x 5 x 5 x 47 x 5641

Step 4: Therefore, the least common multiple of 28200 and 28205 is 159076200.