Least Common Multiple of 10318 and 10322

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 10322 the smallest integer that is 53251198 that is divisible by both numbers.

Least Common Multiple (LCM) of 10318 and 10322 is 53251198.

LCM(10318,10322) = 53251198

LCM of 10318 and 10322

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

LCM of:
and

Least Common Multiple of 10318 and 10322

LCM of 10318 and 10322 is 53251198

Least common multiple can be found by multiplying the highest exponent prime factors of 10318 and 10322. First we will calculate the prime factors of 10318 and 10322.

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 10322


2 10322
13 5161
397 397
1

Prime factors of 10322 are 2, 13,397. Prime factorization of 10322 in exponential form is:

10322 = 21×131×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 10318 and 10322.

LCM(10318,10322) = 21×71×111×131×671×3971
LCM(10318,10322) = 53251198

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 10322

List of positive integer factors of 10322 that divides 10322 without a remainder.

1, 2, 13, 26, 397, 794, 5161, 10322

Least Common Multiple of 10318 and 10322 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 10322, than apply into the LCM equation.

GCF(10318,10322) = 2
LCM(10318,10322) = ( 10318 × 10322) / 2
LCM(10318,10322) = 106502396 / 2
LCM(10318,10322) = 53251198

Properties of LCM 10318 and 10322

(i) The LCM of 10322 and 10318 is associative

LCM of 10318 and 10322 = LCM of 10322 and 10318

Related Least Common Multiples of 10318

Related Least Common Multiples of 10322

Frequently Asked Questions on LCM of 10318 and 10322

1. What is the LCM of 10318 and 10322?

Answer: LCM of 10318 and 10322 is 53251198.

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 10322?

Answer: Factors of 10322 are 1, 2, 13, 26, 397, 794, 5161, 10322. There are 8 integers that are factors of 10322. The greatest factor of 10322 is 10322.

4. How to Find the LCM of 10318 and 10322?

Answer:

Least Common Multiple of 10318 and 10322 = 53251198

Step 1: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

Step 2: Find the prime factorization of 10322

10322 = 2 x 13 x 397

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

LCM = 53251198 = 2 x 7 x 11 x 13 x 67 x 397

Step 4: Therefore, the least common multiple of 10318 and 10322 is 53251198.