Least Common Multiple of 28200 and 28206

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 28206 the smallest integer that is 132568200 that is divisible by both numbers.

Least Common Multiple (LCM) of 28200 and 28206 is 132568200.

LCM(28200,28206) = 132568200

LCM of 28200 and 28206

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

LCM of:
and

Least Common Multiple of 28200 and 28206

LCM of 28200 and 28206 is 132568200

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28206. First we will calculate the prime factors of 28200 and 28206.

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 28206


2 28206
3 14103
3 4701
1567 1567
1

Prime factors of 28206 are 2, 3,1567. Prime factorization of 28206 in exponential form is:

28206 = 21×32×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28206.

LCM(28200,28206) = 23×32×52×471×15671
LCM(28200,28206) = 132568200

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 28206

List of positive integer factors of 28206 that divides 28206 without a remainder.

1, 2, 3, 6, 9, 18, 1567, 3134, 4701, 9402, 14103, 28206

Least Common Multiple of 28200 and 28206 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 28206, than apply into the LCM equation.

GCF(28200,28206) = 6
LCM(28200,28206) = ( 28200 × 28206) / 6
LCM(28200,28206) = 795409200 / 6
LCM(28200,28206) = 132568200

Properties of LCM 28200 and 28206

(i) The LCM of 28206 and 28200 is associative

LCM of 28200 and 28206 = LCM of 28206 and 28200

Related Least Common Multiples of 28200

Related Least Common Multiples of 28206

Frequently Asked Questions on LCM of 28200 and 28206

1. What is the LCM of 28200 and 28206?

Answer: LCM of 28200 and 28206 is 132568200.

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 28206?

Answer: Factors of 28206 are 1, 2, 3, 6, 9, 18, 1567, 3134, 4701, 9402, 14103, 28206. There are 12 integers that are factors of 28206. The greatest factor of 28206 is 28206.

4. How to Find the LCM of 28200 and 28206?

Answer:

Least Common Multiple of 28200 and 28206 = 132568200

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 28206

28206 = 2 x 3 x 3 x 1567

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

LCM = 132568200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 47 x 1567

Step 4: Therefore, the least common multiple of 28200 and 28206 is 132568200.