Least Common Multiple of 9243 and 9251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9243 and 9251 the smallest integer that is 85506993 that is divisible by both numbers.

Least Common Multiple (LCM) of 9243 and 9251 is 85506993.

LCM(9243,9251) = 85506993

LCM of 9243 and 9251

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

LCM of:
and

Least Common Multiple of 9243 and 9251

LCM of 9243 and 9251 is 85506993

Least common multiple can be found by multiplying the highest exponent prime factors of 9243 and 9251. First we will calculate the prime factors of 9243 and 9251.

Prime Factorization of 9243


3 9243
3 3081
13 1027
79 79
1

Prime factors of 9243 are 3, 13,79. Prime factorization of 9243 in exponential form is:

9243 = 32×131×791

Prime Factorization of 9251


11 9251
29 841
29 29
1

Prime factors of 9251 are 11,29. Prime factorization of 9251 in exponential form is:

9251 = 111×292

Now multiplying the highest exponent prime factors to calculate the LCM of 9243 and 9251.

LCM(9243,9251) = 32×111×131×292×791
LCM(9243,9251) = 85506993

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243

Factors of 9251

List of positive integer factors of 9251 that divides 9251 without a remainder.

1, 11, 29, 319, 841, 9251

Least Common Multiple of 9243 and 9251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9243 and 9251, than apply into the LCM equation.

GCF(9243,9251) = 1
LCM(9243,9251) = ( 9243 × 9251) / 1
LCM(9243,9251) = 85506993 / 1
LCM(9243,9251) = 85506993

Properties of LCM 9243 and 9251

(i) The LCM of 9251 and 9243 is associative

LCM of 9243 and 9251 = LCM of 9251 and 9243

Related Least Common Multiples of 9243

Related Least Common Multiples of 9251

Frequently Asked Questions on LCM of 9243 and 9251

1. What is the LCM of 9243 and 9251?

Answer: LCM of 9243 and 9251 is 85506993.

2. What are the Factors of 9243?

Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.

3. What are the Factors of 9251?

Answer: Factors of 9251 are 1, 11, 29, 319, 841, 9251. There are 6 integers that are factors of 9251. The greatest factor of 9251 is 9251.

4. How to Find the LCM of 9243 and 9251?

Answer:

Least Common Multiple of 9243 and 9251 = 85506993

Step 1: Find the prime factorization of 9243

9243 = 3 x 3 x 13 x 79

Step 2: Find the prime factorization of 9251

9251 = 11 x 29 x 29

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

LCM = 85506993 = 3 x 3 x 11 x 13 x 29 x 29 x 79

Step 4: Therefore, the least common multiple of 9243 and 9251 is 85506993.