Least Common Multiple of 28200 and 28202

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 28202 the smallest integer that is 397648200 that is divisible by both numbers.

Least Common Multiple (LCM) of 28200 and 28202 is 397648200.

LCM(28200,28202) = 397648200

LCM of 28200 and 28202

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

LCM of:
and

Least Common Multiple of 28200 and 28202

LCM of 28200 and 28202 is 397648200

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28202. First we will calculate the prime factors of 28200 and 28202.

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 28202


2 28202
59 14101
239 239
1

Prime factors of 28202 are 2, 59,239. Prime factorization of 28202 in exponential form is:

28202 = 21×591×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28202.

LCM(28200,28202) = 23×31×52×471×591×2391
LCM(28200,28202) = 397648200

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 28202

List of positive integer factors of 28202 that divides 28202 without a remainder.

1, 2, 59, 118, 239, 478, 14101, 28202

Least Common Multiple of 28200 and 28202 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 28202, than apply into the LCM equation.

GCF(28200,28202) = 2
LCM(28200,28202) = ( 28200 × 28202) / 2
LCM(28200,28202) = 795296400 / 2
LCM(28200,28202) = 397648200

Properties of LCM 28200 and 28202

(i) The LCM of 28202 and 28200 is associative

LCM of 28200 and 28202 = LCM of 28202 and 28200

Related Least Common Multiples of 28200

Related Least Common Multiples of 28202

Frequently Asked Questions on LCM of 28200 and 28202

1. What is the LCM of 28200 and 28202?

Answer: LCM of 28200 and 28202 is 397648200.

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 28202?

Answer: Factors of 28202 are 1, 2, 59, 118, 239, 478, 14101, 28202. There are 8 integers that are factors of 28202. The greatest factor of 28202 is 28202.

4. How to Find the LCM of 28200 and 28202?

Answer:

Least Common Multiple of 28200 and 28202 = 397648200

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 28202

28202 = 2 x 59 x 239

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

LCM = 397648200 = 2 x 2 x 2 x 3 x 5 x 5 x 47 x 59 x 239

Step 4: Therefore, the least common multiple of 28200 and 28202 is 397648200.