Least Common Multiple of 9308 and 9313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9308 and 9313 the smallest integer that is 86685404 that is divisible by both numbers.

Least Common Multiple (LCM) of 9308 and 9313 is 86685404.

LCM(9308,9313) = 86685404

LCM of 9308 and 9313

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

LCM of:
and

Least Common Multiple of 9308 and 9313

LCM of 9308 and 9313 is 86685404

Least common multiple can be found by multiplying the highest exponent prime factors of 9308 and 9313. First we will calculate the prime factors of 9308 and 9313.

Prime Factorization of 9308


2 9308
2 4654
13 2327
179 179
1

Prime factors of 9308 are 2, 13,179. Prime factorization of 9308 in exponential form is:

9308 = 22×131×1791

Prime Factorization of 9313


67 9313
139 139
1

Prime factors of 9313 are 67,139. Prime factorization of 9313 in exponential form is:

9313 = 671×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9308 and 9313.

LCM(9308,9313) = 22×131×671×1391×1791
LCM(9308,9313) = 86685404

Factors of 9308

List of positive integer factors of 9308 that divides 9308 without a remainder.

1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308

Factors of 9313

List of positive integer factors of 9313 that divides 9313 without a remainder.

1, 67, 139, 9313

Least Common Multiple of 9308 and 9313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9308 and 9313, than apply into the LCM equation.

GCF(9308,9313) = 1
LCM(9308,9313) = ( 9308 × 9313) / 1
LCM(9308,9313) = 86685404 / 1
LCM(9308,9313) = 86685404

Properties of LCM 9308 and 9313

(i) The LCM of 9313 and 9308 is associative

LCM of 9308 and 9313 = LCM of 9313 and 9308

Related Least Common Multiples of 9308

Related Least Common Multiples of 9313

Frequently Asked Questions on LCM of 9308 and 9313

1. What is the LCM of 9308 and 9313?

Answer: LCM of 9308 and 9313 is 86685404.

2. What are the Factors of 9308?

Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.

3. What are the Factors of 9313?

Answer: Factors of 9313 are 1, 67, 139, 9313. There are 4 integers that are factors of 9313. The greatest factor of 9313 is 9313.

4. How to Find the LCM of 9308 and 9313?

Answer:

Least Common Multiple of 9308 and 9313 = 86685404

Step 1: Find the prime factorization of 9308

9308 = 2 x 2 x 13 x 179

Step 2: Find the prime factorization of 9313

9313 = 67 x 139

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

LCM = 86685404 = 2 x 2 x 13 x 67 x 139 x 179

Step 4: Therefore, the least common multiple of 9308 and 9313 is 86685404.