Least Common Multiple of 10222 and 10227

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

• Least Common Multiple of 10222 and 10227 by Prime method
• Least Common Multiple of 10222 and 10227 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10222 and 10227. First we will calculate the prime factors of 10222 and 10227.

Prime Factorization of 10222

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

10222 = 2¹×19¹×269¹

Prime Factorization of 10227

Prime factors of 10227 are 3, 7,487. Prime factorization of 10227 in exponential form is:

10227 = 3¹×7¹×487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10222 and 10227.

LCM(10222,10227) = 2¹×3¹×7¹×19¹×269¹×487¹
LCM(10222,10227) = 104540394

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 10227

List of positive integer factors of 10227 that divides 10227 without a remainder.

1, 3, 7, 21, 487, 1461, 3409, 10227

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10222 and 10227, than apply into the LCM equation.

GCF(10222,10227) = 1
LCM(10222,10227) = ( 10222 × 10227) / 1
LCM(10222,10227) = 104540394 / 1
LCM(10222,10227) = 104540394

(i) The LCM of 10227 and 10222 is associative

LCM of 10222 and 10227 = LCM of 10227 and 10222

1. What is the LCM of 10222 and 10227?

Answer: LCM of 10222 and 10227 is 104540394.

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 10227?

Answer: Factors of 10227 are 1, 3, 7, 21, 487, 1461, 3409, 10227. There are 8 integers that are factors of 10227. The greatest factor of 10227 is 10227.

4. How to Find the LCM of 10222 and 10227?

Answer:

Least Common Multiple of 10222 and 10227 = 104540394

Step 1: Find the prime factorization of 10222

10222 = 2 x 19 x 269

Step 2: Find the prime factorization of 10227

10227 = 3 x 7 x 487

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

LCM = 104540394 = 2 x 3 x 7 x 19 x 269 x 487

Step 4: Therefore, the least common multiple of 10222 and 10227 is 104540394.