Least Common Multiple of 15247 and 15252

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

• Least Common Multiple of 15247 and 15252 by Prime method
• Least Common Multiple of 15247 and 15252 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15247 and 15252. First we will calculate the prime factors of 15247 and 15252.

Prime Factorization of 15247

Prime factors of 15247 are 79,193. Prime factorization of 15247 in exponential form is:

15247 = 79¹×193¹

Prime Factorization of 15252

Prime factors of 15252 are 2, 3, 31,41. Prime factorization of 15252 in exponential form is:

15252 = 2²×3¹×31¹×41¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15247 and 15252.

LCM(15247,15252) = 2²×3¹×31¹×41¹×79¹×193¹
LCM(15247,15252) = 232547244

Factors of 15247

List of positive integer factors of 15247 that divides 15247 without a remainder.

1, 79, 193, 15247

Factors of 15252

List of positive integer factors of 15252 that divides 15252 without a remainder.

1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15247 and 15252, than apply into the LCM equation.

GCF(15247,15252) = 1
LCM(15247,15252) = ( 15247 × 15252) / 1
LCM(15247,15252) = 232547244 / 1
LCM(15247,15252) = 232547244

(i) The LCM of 15252 and 15247 is associative

LCM of 15247 and 15252 = LCM of 15252 and 15247

1. What is the LCM of 15247 and 15252?

Answer: LCM of 15247 and 15252 is 232547244.

2. What are the Factors of 15247?

Answer: Factors of 15247 are 1, 79, 193, 15247. There are 4 integers that are factors of 15247. The greatest factor of 15247 is 15247.

3. What are the Factors of 15252?

Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.

4. How to Find the LCM of 15247 and 15252?

Answer:

Least Common Multiple of 15247 and 15252 = 232547244

Step 1: Find the prime factorization of 15247

15247 = 79 x 193

Step 2: Find the prime factorization of 15252

15252 = 2 x 2 x 3 x 31 x 41

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

LCM = 232547244 = 2 x 2 x 3 x 31 x 41 x 79 x 193

Step 4: Therefore, the least common multiple of 15247 and 15252 is 232547244.