Least Common Multiple of 28200 and 28204

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 28204 the smallest integer that is 198838200 that is divisible by both numbers.

Least Common Multiple (LCM) of 28200 and 28204 is 198838200.

LCM(28200,28204) = 198838200

LCM of 28200 and 28204

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

LCM of:
and

Least Common Multiple of 28200 and 28204

LCM of 28200 and 28204 is 198838200

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28204. First we will calculate the prime factors of 28200 and 28204.

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 28204


2 28204
2 14102
11 7051
641 641
1

Prime factors of 28204 are 2, 11,641. Prime factorization of 28204 in exponential form is:

28204 = 22×111×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28204.

LCM(28200,28204) = 23×31×52×111×471×6411
LCM(28200,28204) = 198838200

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 28204

List of positive integer factors of 28204 that divides 28204 without a remainder.

1, 2, 4, 11, 22, 44, 641, 1282, 2564, 7051, 14102, 28204

Least Common Multiple of 28200 and 28204 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 28204, than apply into the LCM equation.

GCF(28200,28204) = 4
LCM(28200,28204) = ( 28200 × 28204) / 4
LCM(28200,28204) = 795352800 / 4
LCM(28200,28204) = 198838200

Properties of LCM 28200 and 28204

(i) The LCM of 28204 and 28200 is associative

LCM of 28200 and 28204 = LCM of 28204 and 28200

Related Least Common Multiples of 28200

Related Least Common Multiples of 28204

Frequently Asked Questions on LCM of 28200 and 28204

1. What is the LCM of 28200 and 28204?

Answer: LCM of 28200 and 28204 is 198838200.

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 28204?

Answer: Factors of 28204 are 1, 2, 4, 11, 22, 44, 641, 1282, 2564, 7051, 14102, 28204. There are 12 integers that are factors of 28204. The greatest factor of 28204 is 28204.

4. How to Find the LCM of 28200 and 28204?

Answer:

Least Common Multiple of 28200 and 28204 = 198838200

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 28204

28204 = 2 x 2 x 11 x 641

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

LCM = 198838200 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 47 x 641

Step 4: Therefore, the least common multiple of 28200 and 28204 is 198838200.