Least Common Multiple of 10222 and 10230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10222 and 10230 the smallest integer that is 52285530 that is divisible by both numbers.

Least Common Multiple (LCM) of 10222 and 10230 is 52285530.

LCM(10222,10230) = 52285530

LCM of 10222 and 10230

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

LCM of:
and

Least Common Multiple of 10222 and 10230

LCM of 10222 and 10230 is 52285530

Least common multiple can be found by multiplying the highest exponent prime factors of 10222 and 10230. First we will calculate the prime factors of 10222 and 10230.

Prime Factorization of 10222


2 10222
19 5111
269 269
1

Prime factors of 10222 are 2, 19,269. Prime factorization of 10222 in exponential form is:

10222 = 21×191×2691

Prime Factorization of 10230


2 10230
3 5115
5 1705
11 341
31 31
1

Prime factors of 10230 are 2, 3, 5, 11,31. Prime factorization of 10230 in exponential form is:

10230 = 21×31×51×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 10222 and 10230.

LCM(10222,10230) = 21×31×51×111×191×311×2691
LCM(10222,10230) = 52285530

Factors of 10222

List of positive integer factors of 10222 that divides 10222 without a remainder.

1, 2, 19, 38, 269, 538, 5111, 10222

Factors of 10230

List of positive integer factors of 10230 that divides 10230 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115, 10230

Least Common Multiple of 10222 and 10230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10222 and 10230, than apply into the LCM equation.

GCF(10222,10230) = 2
LCM(10222,10230) = ( 10222 × 10230) / 2
LCM(10222,10230) = 104571060 / 2
LCM(10222,10230) = 52285530

Properties of LCM 10222 and 10230

(i) The LCM of 10230 and 10222 is associative

LCM of 10222 and 10230 = LCM of 10230 and 10222

Related Least Common Multiples of 10222

Related Least Common Multiples of 10230

Frequently Asked Questions on LCM of 10222 and 10230

1. What is the LCM of 10222 and 10230?

Answer: LCM of 10222 and 10230 is 52285530.

2. What are the Factors of 10222?

Answer: Factors of 10222 are 1, 2, 19, 38, 269, 538, 5111, 10222. There are 8 integers that are factors of 10222. The greatest factor of 10222 is 10222.

3. What are the Factors of 10230?

Answer: Factors of 10230 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115, 10230. There are 32 integers that are factors of 10230. The greatest factor of 10230 is 10230.

4. How to Find the LCM of 10222 and 10230?

Answer:

Least Common Multiple of 10222 and 10230 = 52285530

Step 1: Find the prime factorization of 10222

10222 = 2 x 19 x 269

Step 2: Find the prime factorization of 10230

10230 = 2 x 3 x 5 x 11 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 = 52285530 = 2 x 3 x 5 x 11 x 19 x 31 x 269

Step 4: Therefore, the least common multiple of 10222 and 10230 is 52285530.