Least Common Multiple of 9246 and 9253

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

• Least Common Multiple of 9246 and 9253 by Prime method
• Least Common Multiple of 9246 and 9253 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9246 and 9253. First we will calculate the prime factors of 9246 and 9253.

Prime Factorization of 9246

Prime factors of 9246 are 2, 3, 23,67. Prime factorization of 9246 in exponential form is:

9246 = 2¹×3¹×23¹×67¹

Prime Factorization of 9253

Prime factors of 9253 are 19,487. Prime factorization of 9253 in exponential form is:

9253 = 19¹×487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9246 and 9253.

LCM(9246,9253) = 2¹×3¹×19¹×23¹×67¹×487¹
LCM(9246,9253) = 85553238

Factors of 9246

List of positive integer factors of 9246 that divides 9246 without a remainder.

1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246

Factors of 9253

List of positive integer factors of 9253 that divides 9253 without a remainder.

1, 19, 487, 9253

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9246 and 9253, than apply into the LCM equation.

GCF(9246,9253) = 1
LCM(9246,9253) = ( 9246 × 9253) / 1
LCM(9246,9253) = 85553238 / 1
LCM(9246,9253) = 85553238

(i) The LCM of 9253 and 9246 is associative

LCM of 9246 and 9253 = LCM of 9253 and 9246

1. What is the LCM of 9246 and 9253?

Answer: LCM of 9246 and 9253 is 85553238.

2. What are the Factors of 9246?

Answer: Factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246. There are 16 integers that are factors of 9246. The greatest factor of 9246 is 9246.

3. What are the Factors of 9253?

Answer: Factors of 9253 are 1, 19, 487, 9253. There are 4 integers that are factors of 9253. The greatest factor of 9253 is 9253.

4. How to Find the LCM of 9246 and 9253?

Answer:

Least Common Multiple of 9246 and 9253 = 85553238

Step 1: Find the prime factorization of 9246

9246 = 2 x 3 x 23 x 67

Step 2: Find the prime factorization of 9253

9253 = 19 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 = 85553238 = 2 x 3 x 19 x 23 x 67 x 487

Step 4: Therefore, the least common multiple of 9246 and 9253 is 85553238.