Least Common Multiple of 9310 and 9318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9310 and 9318 the smallest integer that is 43375290 that is divisible by both numbers.

Least Common Multiple (LCM) of 9310 and 9318 is 43375290.

LCM(9310,9318) = 43375290

LCM of 9310 and 9318

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

LCM of:
and

Least Common Multiple of 9310 and 9318

LCM of 9310 and 9318 is 43375290

Least common multiple can be found by multiplying the highest exponent prime factors of 9310 and 9318. First we will calculate the prime factors of 9310 and 9318.

Prime Factorization of 9310


2 9310
5 4655
7 931
7 133
19 19
1

Prime factors of 9310 are 2, 5, 7,19. Prime factorization of 9310 in exponential form is:

9310 = 21×51×72×191

Prime Factorization of 9318


2 9318
3 4659
1553 1553
1

Prime factors of 9318 are 2, 3,1553. Prime factorization of 9318 in exponential form is:

9318 = 21×31×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 9310 and 9318.

LCM(9310,9318) = 21×31×51×72×191×15531
LCM(9310,9318) = 43375290

Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310

Factors of 9318

List of positive integer factors of 9318 that divides 9318 without a remainder.

1, 2, 3, 6, 1553, 3106, 4659, 9318

Least Common Multiple of 9310 and 9318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9310 and 9318, than apply into the LCM equation.

GCF(9310,9318) = 2
LCM(9310,9318) = ( 9310 × 9318) / 2
LCM(9310,9318) = 86750580 / 2
LCM(9310,9318) = 43375290

Properties of LCM 9310 and 9318

(i) The LCM of 9318 and 9310 is associative

LCM of 9310 and 9318 = LCM of 9318 and 9310

Related Least Common Multiples of 9310

Related Least Common Multiples of 9318

Frequently Asked Questions on LCM of 9310 and 9318

1. What is the LCM of 9310 and 9318?

Answer: LCM of 9310 and 9318 is 43375290.

2. What are the Factors of 9310?

Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.

3. What are the Factors of 9318?

Answer: Factors of 9318 are 1, 2, 3, 6, 1553, 3106, 4659, 9318. There are 8 integers that are factors of 9318. The greatest factor of 9318 is 9318.

4. How to Find the LCM of 9310 and 9318?

Answer:

Least Common Multiple of 9310 and 9318 = 43375290

Step 1: Find the prime factorization of 9310

9310 = 2 x 5 x 7 x 7 x 19

Step 2: Find the prime factorization of 9318

9318 = 2 x 3 x 1553

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

LCM = 43375290 = 2 x 3 x 5 x 7 x 7 x 19 x 1553

Step 4: Therefore, the least common multiple of 9310 and 9318 is 43375290.