Least Common Multiple of 15222 and 15229

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

• Least Common Multiple of 15222 and 15229 by Prime method
• Least Common Multiple of 15222 and 15229 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15222 and 15229. First we will calculate the prime factors of 15222 and 15229.

Prime Factorization of 15222

Prime factors of 15222 are 2, 3, 43,59. Prime factorization of 15222 in exponential form is:

15222 = 2¹×3¹×43¹×59¹

Prime Factorization of 15229

Prime factors of 15229 are 97,157. Prime factorization of 15229 in exponential form is:

15229 = 97¹×157¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15222 and 15229.

LCM(15222,15229) = 2¹×3¹×43¹×59¹×97¹×157¹
LCM(15222,15229) = 231815838

Factors of 15222

List of positive integer factors of 15222 that divides 15222 without a remainder.

1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611, 15222

Factors of 15229

List of positive integer factors of 15229 that divides 15229 without a remainder.

1, 97, 157, 15229

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15222 and 15229, than apply into the LCM equation.

GCF(15222,15229) = 1
LCM(15222,15229) = ( 15222 × 15229) / 1
LCM(15222,15229) = 231815838 / 1
LCM(15222,15229) = 231815838

(i) The LCM of 15229 and 15222 is associative

LCM of 15222 and 15229 = LCM of 15229 and 15222

1. What is the LCM of 15222 and 15229?

Answer: LCM of 15222 and 15229 is 231815838.

2. What are the Factors of 15222?

Answer: Factors of 15222 are 1, 2, 3, 6, 43, 59, 86, 118, 129, 177, 258, 354, 2537, 5074, 7611, 15222. There are 16 integers that are factors of 15222. The greatest factor of 15222 is 15222.

3. What are the Factors of 15229?

Answer: Factors of 15229 are 1, 97, 157, 15229. There are 4 integers that are factors of 15229. The greatest factor of 15229 is 15229.

4. How to Find the LCM of 15222 and 15229?

Answer:

Least Common Multiple of 15222 and 15229 = 231815838

Step 1: Find the prime factorization of 15222

15222 = 2 x 3 x 43 x 59

Step 2: Find the prime factorization of 15229

15229 = 97 x 157

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

LCM = 231815838 = 2 x 3 x 43 x 59 x 97 x 157

Step 4: Therefore, the least common multiple of 15222 and 15229 is 231815838.