Least Common Multiple of 10318 and 10324

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 10324 the smallest integer that is 53261516 that is divisible by both numbers.

Least Common Multiple (LCM) of 10318 and 10324 is 53261516.

LCM(10318,10324) = 53261516

LCM of 10318 and 10324

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

LCM of:
and

Least Common Multiple of 10318 and 10324

LCM of 10318 and 10324 is 53261516

Least common multiple can be found by multiplying the highest exponent prime factors of 10318 and 10324. First we will calculate the prime factors of 10318 and 10324.

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 10324


2 10324
2 5162
29 2581
89 89
1

Prime factors of 10324 are 2, 29,89. Prime factorization of 10324 in exponential form is:

10324 = 22×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10318 and 10324.

LCM(10318,10324) = 22×71×111×291×671×891
LCM(10318,10324) = 53261516

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 10324

List of positive integer factors of 10324 that divides 10324 without a remainder.

1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324

Least Common Multiple of 10318 and 10324 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 10324, than apply into the LCM equation.

GCF(10318,10324) = 2
LCM(10318,10324) = ( 10318 × 10324) / 2
LCM(10318,10324) = 106523032 / 2
LCM(10318,10324) = 53261516

Properties of LCM 10318 and 10324

(i) The LCM of 10324 and 10318 is associative

LCM of 10318 and 10324 = LCM of 10324 and 10318

Related Least Common Multiples of 10318

Related Least Common Multiples of 10324

Frequently Asked Questions on LCM of 10318 and 10324

1. What is the LCM of 10318 and 10324?

Answer: LCM of 10318 and 10324 is 53261516.

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 10324?

Answer: Factors of 10324 are 1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324. There are 12 integers that are factors of 10324. The greatest factor of 10324 is 10324.

4. How to Find the LCM of 10318 and 10324?

Answer:

Least Common Multiple of 10318 and 10324 = 53261516

Step 1: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

Step 2: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

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

LCM = 53261516 = 2 x 2 x 7 x 11 x 29 x 67 x 89

Step 4: Therefore, the least common multiple of 10318 and 10324 is 53261516.