Least Common Multiple of 9272 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 9272 and 9279 the smallest integer that is 86034888 that is divisible by both numbers.

Least Common Multiple (LCM) of 9272 and 9279 is 86034888.

LCM(9272,9279) = 86034888

LCM of 9272 and 9279

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

LCM of:
and

Least Common Multiple of 9272 and 9279

LCM of 9272 and 9279 is 86034888

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9279. First we will calculate the prime factors of 9272 and 9279.

Prime Factorization of 9272


2 9272
2 4636
2 2318
19 1159
61 61
1

Prime factors of 9272 are 2, 19,61. Prime factorization of 9272 in exponential form is:

9272 = 23×191×611

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 9272 and 9279.

LCM(9272,9279) = 23×32×191×611×10311
LCM(9272,9279) = 86034888

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272

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 9272 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 9272 and 9279, than apply into the LCM equation.

GCF(9272,9279) = 1
LCM(9272,9279) = ( 9272 × 9279) / 1
LCM(9272,9279) = 86034888 / 1
LCM(9272,9279) = 86034888

Properties of LCM 9272 and 9279

(i) The LCM of 9279 and 9272 is associative

LCM of 9272 and 9279 = LCM of 9279 and 9272

Related Least Common Multiples of 9272

Related Least Common Multiples of 9279

Frequently Asked Questions on LCM of 9272 and 9279

1. What is the LCM of 9272 and 9279?

Answer: LCM of 9272 and 9279 is 86034888.

2. What are the Factors of 9272?

Answer: Factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272. There are 16 integers that are factors of 9272. The greatest factor of 9272 is 9272.

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 9272 and 9279?

Answer:

Least Common Multiple of 9272 and 9279 = 86034888

Step 1: Find the prime factorization of 9272

9272 = 2 x 2 x 2 x 19 x 61

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 = 86034888 = 2 x 2 x 2 x 3 x 3 x 19 x 61 x 1031

Step 4: Therefore, the least common multiple of 9272 and 9279 is 86034888.