Least Common Multiple of 28202 and 28210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 28202 and 28210 the smallest integer that is 397789210 that is divisible by both numbers.

Least Common Multiple (LCM) of 28202 and 28210 is 397789210.

LCM(28202,28210) = 397789210

LCM of 28202 and 28210

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

LCM of:
and

Least Common Multiple of 28202 and 28210

LCM of 28202 and 28210 is 397789210

Least common multiple can be found by multiplying the highest exponent prime factors of 28202 and 28210. First we will calculate the prime factors of 28202 and 28210.

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

Prime Factorization of 28210


2 28210
5 14105
7 2821
13 403
31 31
1

Prime factors of 28210 are 2, 5, 7, 13,31. Prime factorization of 28210 in exponential form is:

28210 = 21×51×71×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 28202 and 28210.

LCM(28202,28210) = 21×51×71×131×311×591×2391
LCM(28202,28210) = 397789210

Factors of 28202

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

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

Factors of 28210

List of positive integer factors of 28210 that divides 28210 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 31, 35, 62, 65, 70, 91, 130, 155, 182, 217, 310, 403, 434, 455, 806, 910, 1085, 2015, 2170, 2821, 4030, 5642, 14105, 28210

Least Common Multiple of 28202 and 28210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28202 and 28210, than apply into the LCM equation.

GCF(28202,28210) = 2
LCM(28202,28210) = ( 28202 × 28210) / 2
LCM(28202,28210) = 795578420 / 2
LCM(28202,28210) = 397789210

Properties of LCM 28202 and 28210

(i) The LCM of 28210 and 28202 is associative

LCM of 28202 and 28210 = LCM of 28210 and 28202

Related Least Common Multiples of 28202

Related Least Common Multiples of 28210

Frequently Asked Questions on LCM of 28202 and 28210

1. What is the LCM of 28202 and 28210?

Answer: LCM of 28202 and 28210 is 397789210.

2. 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.

3. What are the Factors of 28210?

Answer: Factors of 28210 are 1, 2, 5, 7, 10, 13, 14, 26, 31, 35, 62, 65, 70, 91, 130, 155, 182, 217, 310, 403, 434, 455, 806, 910, 1085, 2015, 2170, 2821, 4030, 5642, 14105, 28210. There are 32 integers that are factors of 28210. The greatest factor of 28210 is 28210.

4. How to Find the LCM of 28202 and 28210?

Answer:

Least Common Multiple of 28202 and 28210 = 397789210

Step 1: Find the prime factorization of 28202

28202 = 2 x 59 x 239

Step 2: Find the prime factorization of 28210

28210 = 2 x 5 x 7 x 13 x 31

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

LCM = 397789210 = 2 x 5 x 7 x 13 x 31 x 59 x 239

Step 4: Therefore, the least common multiple of 28202 and 28210 is 397789210.