Least Common Multiple of 9242 and 9247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9242 and 9247 the smallest integer that is 85460774 that is divisible by both numbers.

Least Common Multiple (LCM) of 9242 and 9247 is 85460774.

LCM(9242,9247) = 85460774

LCM of 9242 and 9247

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

LCM of:
and

Least Common Multiple of 9242 and 9247

LCM of 9242 and 9247 is 85460774

Least common multiple can be found by multiplying the highest exponent prime factors of 9242 and 9247. First we will calculate the prime factors of 9242 and 9247.

Prime Factorization of 9242


2 9242
4621 4621
1

Prime factors of 9242 are 2,4621. Prime factorization of 9242 in exponential form is:

9242 = 21×46211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9242 and 9247.

LCM(9242,9247) = 21×71×13211×46211
LCM(9242,9247) = 85460774

Factors of 9242

List of positive integer factors of 9242 that divides 9242 without a remainder.

1, 2, 4621, 9242

Factors of 9247

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

1, 7, 1321, 9247

Least Common Multiple of 9242 and 9247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9242 and 9247, than apply into the LCM equation.

GCF(9242,9247) = 1
LCM(9242,9247) = ( 9242 × 9247) / 1
LCM(9242,9247) = 85460774 / 1
LCM(9242,9247) = 85460774

Properties of LCM 9242 and 9247

(i) The LCM of 9247 and 9242 is associative

LCM of 9242 and 9247 = LCM of 9247 and 9242

Related Least Common Multiples of 9242

Related Least Common Multiples of 9247

Frequently Asked Questions on LCM of 9242 and 9247

1. What is the LCM of 9242 and 9247?

Answer: LCM of 9242 and 9247 is 85460774.

2. What are the Factors of 9242?

Answer: Factors of 9242 are 1, 2, 4621, 9242. There are 4 integers that are factors of 9242. The greatest factor of 9242 is 9242.

3. 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.

4. How to Find the LCM of 9242 and 9247?

Answer:

Least Common Multiple of 9242 and 9247 = 85460774

Step 1: Find the prime factorization of 9242

9242 = 2 x 4621

Step 2: Find the prime factorization of 9247

9247 = 7 x 1321

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

LCM = 85460774 = 2 x 7 x 1321 x 4621

Step 4: Therefore, the least common multiple of 9242 and 9247 is 85460774.