Least Common Multiple of 10318 and 10323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10318 and 10323 the smallest integer that is 106512714 that is divisible by both numbers.

Least Common Multiple (LCM) of 10318 and 10323 is 106512714.

LCM(10318,10323) = 106512714

LCM of 10318 and 10323

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

LCM of:
and

Least Common Multiple of 10318 and 10323

LCM of 10318 and 10323 is 106512714

Least common multiple can be found by multiplying the highest exponent prime factors of 10318 and 10323. First we will calculate the prime factors of 10318 and 10323.

Prime Factorization of 10318


2 10318
7 5159
11 737
67 67
1

Prime factors of 10318 are 2, 7, 11,67. Prime factorization of 10318 in exponential form is:

10318 = 21×71×111×671

Prime Factorization of 10323


3 10323
3 3441
31 1147
37 37
1

Prime factors of 10323 are 3, 31,37. Prime factorization of 10323 in exponential form is:

10323 = 32×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 10318 and 10323.

LCM(10318,10323) = 21×32×71×111×311×371×671
LCM(10318,10323) = 106512714

Factors of 10318

List of positive integer factors of 10318 that divides 10318 without a remainder.

1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318

Factors of 10323

List of positive integer factors of 10323 that divides 10323 without a remainder.

1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323

Least Common Multiple of 10318 and 10323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10318 and 10323, than apply into the LCM equation.

GCF(10318,10323) = 1
LCM(10318,10323) = ( 10318 × 10323) / 1
LCM(10318,10323) = 106512714 / 1
LCM(10318,10323) = 106512714

Properties of LCM 10318 and 10323

(i) The LCM of 10323 and 10318 is associative

LCM of 10318 and 10323 = LCM of 10323 and 10318

Related Least Common Multiples of 10318

Related Least Common Multiples of 10323

Frequently Asked Questions on LCM of 10318 and 10323

1. What is the LCM of 10318 and 10323?

Answer: LCM of 10318 and 10323 is 106512714.

2. What are the Factors of 10318?

Answer: Factors of 10318 are 1, 2, 7, 11, 14, 22, 67, 77, 134, 154, 469, 737, 938, 1474, 5159, 10318. There are 16 integers that are factors of 10318. The greatest factor of 10318 is 10318.

3. What are the Factors of 10323?

Answer: Factors of 10323 are 1, 3, 9, 31, 37, 93, 111, 279, 333, 1147, 3441, 10323. There are 12 integers that are factors of 10323. The greatest factor of 10323 is 10323.

4. How to Find the LCM of 10318 and 10323?

Answer:

Least Common Multiple of 10318 and 10323 = 106512714

Step 1: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

Step 2: Find the prime factorization of 10323

10323 = 3 x 3 x 31 x 37

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

LCM = 106512714 = 2 x 3 x 3 x 7 x 11 x 31 x 37 x 67

Step 4: Therefore, the least common multiple of 10318 and 10323 is 106512714.