Least Common Multiple of 9247 and 9254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9247 and 9254 the smallest integer that is 12224534 that is divisible by both numbers.

Least Common Multiple (LCM) of 9247 and 9254 is 12224534.

LCM(9247,9254) = 12224534

LCM of 9247 and 9254

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

LCM of:
and

Least Common Multiple of 9247 and 9254

LCM of 9247 and 9254 is 12224534

Least common multiple can be found by multiplying the highest exponent prime factors of 9247 and 9254. First we will calculate the prime factors of 9247 and 9254.

Prime Factorization of 9247


7 9247
1321 1321
1

Prime factors of 9247 are 7,1321. Prime factorization of 9247 in exponential form is:

9247 = 71×13211

Prime Factorization of 9254


2 9254
7 4627
661 661
1

Prime factors of 9254 are 2, 7,661. Prime factorization of 9254 in exponential form is:

9254 = 21×71×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 9247 and 9254.

LCM(9247,9254) = 21×71×6611×13211
LCM(9247,9254) = 12224534

Factors of 9247

List of positive integer factors of 9247 that divides 9247 without a remainder.

1, 7, 1321, 9247

Factors of 9254

List of positive integer factors of 9254 that divides 9254 without a remainder.

1, 2, 7, 14, 661, 1322, 4627, 9254

Least Common Multiple of 9247 and 9254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9247 and 9254, than apply into the LCM equation.

GCF(9247,9254) = 7
LCM(9247,9254) = ( 9247 × 9254) / 7
LCM(9247,9254) = 85571738 / 7
LCM(9247,9254) = 12224534

Properties of LCM 9247 and 9254

(i) The LCM of 9254 and 9247 is associative

LCM of 9247 and 9254 = LCM of 9254 and 9247

Related Least Common Multiples of 9247

Related Least Common Multiples of 9254

Frequently Asked Questions on LCM of 9247 and 9254

1. What is the LCM of 9247 and 9254?

Answer: LCM of 9247 and 9254 is 12224534.

2. What are the Factors of 9247?

Answer: Factors of 9247 are 1, 7, 1321, 9247. There are 4 integers that are factors of 9247. The greatest factor of 9247 is 9247.

3. What are the Factors of 9254?

Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.

4. How to Find the LCM of 9247 and 9254?

Answer:

Least Common Multiple of 9247 and 9254 = 12224534

Step 1: Find the prime factorization of 9247

9247 = 7 x 1321

Step 2: Find the prime factorization of 9254

9254 = 2 x 7 x 661

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

LCM = 12224534 = 2 x 7 x 661 x 1321

Step 4: Therefore, the least common multiple of 9247 and 9254 is 12224534.