Least Common Multiple of 28210 and 28214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 28210 and 28214 the smallest integer that is 397958470 that is divisible by both numbers.

Least Common Multiple (LCM) of 28210 and 28214 is 397958470.

LCM(28210,28214) = 397958470

LCM of 28210 and 28214

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

LCM of:
and

Least Common Multiple of 28210 and 28214

LCM of 28210 and 28214 is 397958470

Least common multiple can be found by multiplying the highest exponent prime factors of 28210 and 28214. First we will calculate the prime factors of 28210 and 28214.

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

Prime Factorization of 28214


2 28214
14107 14107
1

Prime factors of 28214 are 2,14107. Prime factorization of 28214 in exponential form is:

28214 = 21×141071

Now multiplying the highest exponent prime factors to calculate the LCM of 28210 and 28214.

LCM(28210,28214) = 21×51×71×131×311×141071
LCM(28210,28214) = 397958470

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

Factors of 28214

List of positive integer factors of 28214 that divides 28214 without a remainder.

1, 2, 14107, 28214

Least Common Multiple of 28210 and 28214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28210 and 28214, than apply into the LCM equation.

GCF(28210,28214) = 2
LCM(28210,28214) = ( 28210 × 28214) / 2
LCM(28210,28214) = 795916940 / 2
LCM(28210,28214) = 397958470

Properties of LCM 28210 and 28214

(i) The LCM of 28214 and 28210 is associative

LCM of 28210 and 28214 = LCM of 28214 and 28210

Related Least Common Multiples of 28210

Related Least Common Multiples of 28214

Frequently Asked Questions on LCM of 28210 and 28214

1. What is the LCM of 28210 and 28214?

Answer: LCM of 28210 and 28214 is 397958470.

2. 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.

3. What are the Factors of 28214?

Answer: Factors of 28214 are 1, 2, 14107, 28214. There are 4 integers that are factors of 28214. The greatest factor of 28214 is 28214.

4. How to Find the LCM of 28210 and 28214?

Answer:

Least Common Multiple of 28210 and 28214 = 397958470

Step 1: Find the prime factorization of 28210

28210 = 2 x 5 x 7 x 13 x 31

Step 2: Find the prime factorization of 28214

28214 = 2 x 14107

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

LCM = 397958470 = 2 x 5 x 7 x 13 x 31 x 14107

Step 4: Therefore, the least common multiple of 28210 and 28214 is 397958470.