Least Common Multiple of 10222 and 10228

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 10228 the smallest integer that is 52275308 that is divisible by both numbers.

Least Common Multiple (LCM) of 10222 and 10228 is 52275308.

LCM(10222,10228) = 52275308

LCM of 10222 and 10228

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

LCM of:
and

Least Common Multiple of 10222 and 10228

LCM of 10222 and 10228 is 52275308

Least common multiple can be found by multiplying the highest exponent prime factors of 10222 and 10228. First we will calculate the prime factors of 10222 and 10228.

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 10228


2 10228
2 5114
2557 2557
1

Prime factors of 10228 are 2,2557. Prime factorization of 10228 in exponential form is:

10228 = 22×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 10222 and 10228.

LCM(10222,10228) = 22×191×2691×25571
LCM(10222,10228) = 52275308

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 10228

List of positive integer factors of 10228 that divides 10228 without a remainder.

1, 2, 4, 2557, 5114, 10228

Least Common Multiple of 10222 and 10228 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 10228, than apply into the LCM equation.

GCF(10222,10228) = 2
LCM(10222,10228) = ( 10222 × 10228) / 2
LCM(10222,10228) = 104550616 / 2
LCM(10222,10228) = 52275308

Properties of LCM 10222 and 10228

(i) The LCM of 10228 and 10222 is associative

LCM of 10222 and 10228 = LCM of 10228 and 10222

Related Least Common Multiples of 10222

Related Least Common Multiples of 10228

Frequently Asked Questions on LCM of 10222 and 10228

1. What is the LCM of 10222 and 10228?

Answer: LCM of 10222 and 10228 is 52275308.

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 10228?

Answer: Factors of 10228 are 1, 2, 4, 2557, 5114, 10228. There are 6 integers that are factors of 10228. The greatest factor of 10228 is 10228.

4. How to Find the LCM of 10222 and 10228?

Answer:

Least Common Multiple of 10222 and 10228 = 52275308

Step 1: Find the prime factorization of 10222

10222 = 2 x 19 x 269

Step 2: Find the prime factorization of 10228

10228 = 2 x 2 x 2557

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

LCM = 52275308 = 2 x 2 x 19 x 269 x 2557

Step 4: Therefore, the least common multiple of 10222 and 10228 is 52275308.