Least Common Multiple of 9271 and 9279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9271 and 9279 the smallest integer that is 86025609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9271 and 9279 is 86025609.

LCM(9271,9279) = 86025609

LCM of 9271 and 9279

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

LCM of:
and

Least Common Multiple of 9271 and 9279

LCM of 9271 and 9279 is 86025609

Least common multiple can be found by multiplying the highest exponent prime factors of 9271 and 9279. First we will calculate the prime factors of 9271 and 9279.

Prime Factorization of 9271


73 9271
127 127
1

Prime factors of 9271 are 73,127. Prime factorization of 9271 in exponential form is:

9271 = 731×1271

Prime Factorization of 9279


3 9279
3 3093
1031 1031
1

Prime factors of 9279 are 3,1031. Prime factorization of 9279 in exponential form is:

9279 = 32×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 9271 and 9279.

LCM(9271,9279) = 32×731×1271×10311
LCM(9271,9279) = 86025609

Factors of 9271

List of positive integer factors of 9271 that divides 9271 without a remainder.

1, 73, 127, 9271

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1, 3, 9, 1031, 3093, 9279

Least Common Multiple of 9271 and 9279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9271 and 9279, than apply into the LCM equation.

GCF(9271,9279) = 1
LCM(9271,9279) = ( 9271 × 9279) / 1
LCM(9271,9279) = 86025609 / 1
LCM(9271,9279) = 86025609

Properties of LCM 9271 and 9279

(i) The LCM of 9279 and 9271 is associative

LCM of 9271 and 9279 = LCM of 9279 and 9271

Related Least Common Multiples of 9271

Related Least Common Multiples of 9279

Frequently Asked Questions on LCM of 9271 and 9279

1. What is the LCM of 9271 and 9279?

Answer: LCM of 9271 and 9279 is 86025609.

2. What are the Factors of 9271?

Answer: Factors of 9271 are 1, 73, 127, 9271. There are 4 integers that are factors of 9271. The greatest factor of 9271 is 9271.

3. What are the Factors of 9279?

Answer: Factors of 9279 are 1, 3, 9, 1031, 3093, 9279. There are 6 integers that are factors of 9279. The greatest factor of 9279 is 9279.

4. How to Find the LCM of 9271 and 9279?

Answer:

Least Common Multiple of 9271 and 9279 = 86025609

Step 1: Find the prime factorization of 9271

9271 = 73 x 127

Step 2: Find the prime factorization of 9279

9279 = 3 x 3 x 1031

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

LCM = 86025609 = 3 x 3 x 73 x 127 x 1031

Step 4: Therefore, the least common multiple of 9271 and 9279 is 86025609.