Least Common Multiple of 9274 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 9274 and 9279 the smallest integer that is 86053446 that is divisible by both numbers.

Least Common Multiple (LCM) of 9274 and 9279 is 86053446.

LCM(9274,9279) = 86053446

LCM of 9274 and 9279

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

LCM of:
and

Least Common Multiple of 9274 and 9279

LCM of 9274 and 9279 is 86053446

Least common multiple can be found by multiplying the highest exponent prime factors of 9274 and 9279. First we will calculate the prime factors of 9274 and 9279.

Prime Factorization of 9274


2 9274
4637 4637
1

Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:

9274 = 21×46371

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 9274 and 9279.

LCM(9274,9279) = 21×32×10311×46371
LCM(9274,9279) = 86053446

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1, 2, 4637, 9274

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 9274 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 9274 and 9279, than apply into the LCM equation.

GCF(9274,9279) = 1
LCM(9274,9279) = ( 9274 × 9279) / 1
LCM(9274,9279) = 86053446 / 1
LCM(9274,9279) = 86053446

Properties of LCM 9274 and 9279

(i) The LCM of 9279 and 9274 is associative

LCM of 9274 and 9279 = LCM of 9279 and 9274

Related Least Common Multiples of 9274

Related Least Common Multiples of 9279

Frequently Asked Questions on LCM of 9274 and 9279

1. What is the LCM of 9274 and 9279?

Answer: LCM of 9274 and 9279 is 86053446.

2. What are the Factors of 9274?

Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.

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 9274 and 9279?

Answer:

Least Common Multiple of 9274 and 9279 = 86053446

Step 1: Find the prime factorization of 9274

9274 = 2 x 4637

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 = 86053446 = 2 x 3 x 3 x 1031 x 4637

Step 4: Therefore, the least common multiple of 9274 and 9279 is 86053446.