Least Common Multiple of 10238 and 10245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10238 and 10245 the smallest integer that is 104888310 that is divisible by both numbers.

Least Common Multiple (LCM) of 10238 and 10245 is 104888310.

LCM(10238,10245) = 104888310

LCM of 10238 and 10245

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

LCM of:
and

Least Common Multiple of 10238 and 10245

LCM of 10238 and 10245 is 104888310

Least common multiple can be found by multiplying the highest exponent prime factors of 10238 and 10245. First we will calculate the prime factors of 10238 and 10245.

Prime Factorization of 10238


2 10238
5119 5119
1

Prime factors of 10238 are 2,5119. Prime factorization of 10238 in exponential form is:

10238 = 21×51191

Prime Factorization of 10245


3 10245
5 3415
683 683
1

Prime factors of 10245 are 3, 5,683. Prime factorization of 10245 in exponential form is:

10245 = 31×51×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 10238 and 10245.

LCM(10238,10245) = 21×31×51×6831×51191
LCM(10238,10245) = 104888310

Factors of 10238

List of positive integer factors of 10238 that divides 10238 without a remainder.

1, 2, 5119, 10238

Factors of 10245

List of positive integer factors of 10245 that divides 10245 without a remainder.

1, 3, 5, 15, 683, 2049, 3415, 10245

Least Common Multiple of 10238 and 10245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10238 and 10245, than apply into the LCM equation.

GCF(10238,10245) = 1
LCM(10238,10245) = ( 10238 × 10245) / 1
LCM(10238,10245) = 104888310 / 1
LCM(10238,10245) = 104888310

Properties of LCM 10238 and 10245

(i) The LCM of 10245 and 10238 is associative

LCM of 10238 and 10245 = LCM of 10245 and 10238

Related Least Common Multiples of 10238

Related Least Common Multiples of 10245

Frequently Asked Questions on LCM of 10238 and 10245

1. What is the LCM of 10238 and 10245?

Answer: LCM of 10238 and 10245 is 104888310.

2. What are the Factors of 10238?

Answer: Factors of 10238 are 1, 2, 5119, 10238. There are 4 integers that are factors of 10238. The greatest factor of 10238 is 10238.

3. What are the Factors of 10245?

Answer: Factors of 10245 are 1, 3, 5, 15, 683, 2049, 3415, 10245. There are 8 integers that are factors of 10245. The greatest factor of 10245 is 10245.

4. How to Find the LCM of 10238 and 10245?

Answer:

Least Common Multiple of 10238 and 10245 = 104888310

Step 1: Find the prime factorization of 10238

10238 = 2 x 5119

Step 2: Find the prime factorization of 10245

10245 = 3 x 5 x 683

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

LCM = 104888310 = 2 x 3 x 5 x 683 x 5119

Step 4: Therefore, the least common multiple of 10238 and 10245 is 104888310.