Least Common Multiple of 10314 and 10318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10314 and 10318 the smallest integer that is 53209926 that is divisible by both numbers.

Least Common Multiple (LCM) of 10314 and 10318 is 53209926.

LCM(10314,10318) = 53209926

LCM of 10314 and 10318

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

LCM of:
and

Least Common Multiple of 10314 and 10318

LCM of 10314 and 10318 is 53209926

Least common multiple can be found by multiplying the highest exponent prime factors of 10314 and 10318. First we will calculate the prime factors of 10314 and 10318.

Prime Factorization of 10314


2 10314
3 5157
3 1719
3 573
191 191
1

Prime factors of 10314 are 2, 3,191. Prime factorization of 10314 in exponential form is:

10314 = 21×33×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10314 and 10318.

LCM(10314,10318) = 21×33×71×111×671×1911
LCM(10314,10318) = 53209926

Factors of 10314

List of positive integer factors of 10314 that divides 10314 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157, 10314

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

Least Common Multiple of 10314 and 10318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10314 and 10318, than apply into the LCM equation.

GCF(10314,10318) = 2
LCM(10314,10318) = ( 10314 × 10318) / 2
LCM(10314,10318) = 106419852 / 2
LCM(10314,10318) = 53209926

Properties of LCM 10314 and 10318

(i) The LCM of 10318 and 10314 is associative

LCM of 10314 and 10318 = LCM of 10318 and 10314

Related Least Common Multiples of 10314

Related Least Common Multiples of 10318

Frequently Asked Questions on LCM of 10314 and 10318

1. What is the LCM of 10314 and 10318?

Answer: LCM of 10314 and 10318 is 53209926.

2. What are the Factors of 10314?

Answer: Factors of 10314 are 1, 2, 3, 6, 9, 18, 27, 54, 191, 382, 573, 1146, 1719, 3438, 5157, 10314. There are 16 integers that are factors of 10314. The greatest factor of 10314 is 10314.

3. 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.

4. How to Find the LCM of 10314 and 10318?

Answer:

Least Common Multiple of 10314 and 10318 = 53209926

Step 1: Find the prime factorization of 10314

10314 = 2 x 3 x 3 x 3 x 191

Step 2: Find the prime factorization of 10318

10318 = 2 x 7 x 11 x 67

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

LCM = 53209926 = 2 x 3 x 3 x 3 x 7 x 11 x 67 x 191

Step 4: Therefore, the least common multiple of 10314 and 10318 is 53209926.