Least Common Multiple of 10238 and 10244

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 10244 the smallest integer that is 52439036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10238 and 10244 is 52439036.

LCM(10238,10244) = 52439036

LCM of 10238 and 10244

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

LCM of:
and

Least Common Multiple of 10238 and 10244

LCM of 10238 and 10244 is 52439036

Least common multiple can be found by multiplying the highest exponent prime factors of 10238 and 10244. First we will calculate the prime factors of 10238 and 10244.

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 10244


2 10244
2 5122
13 2561
197 197
1

Prime factors of 10244 are 2, 13,197. Prime factorization of 10244 in exponential form is:

10244 = 22×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 10238 and 10244.

LCM(10238,10244) = 22×131×1971×51191
LCM(10238,10244) = 52439036

Factors of 10238

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

1, 2, 5119, 10238

Factors of 10244

List of positive integer factors of 10244 that divides 10244 without a remainder.

1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244

Least Common Multiple of 10238 and 10244 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 10244, than apply into the LCM equation.

GCF(10238,10244) = 2
LCM(10238,10244) = ( 10238 × 10244) / 2
LCM(10238,10244) = 104878072 / 2
LCM(10238,10244) = 52439036

Properties of LCM 10238 and 10244

(i) The LCM of 10244 and 10238 is associative

LCM of 10238 and 10244 = LCM of 10244 and 10238

Related Least Common Multiples of 10238

Related Least Common Multiples of 10244

Frequently Asked Questions on LCM of 10238 and 10244

1. What is the LCM of 10238 and 10244?

Answer: LCM of 10238 and 10244 is 52439036.

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 10244?

Answer: Factors of 10244 are 1, 2, 4, 13, 26, 52, 197, 394, 788, 2561, 5122, 10244. There are 12 integers that are factors of 10244. The greatest factor of 10244 is 10244.

4. How to Find the LCM of 10238 and 10244?

Answer:

Least Common Multiple of 10238 and 10244 = 52439036

Step 1: Find the prime factorization of 10238

10238 = 2 x 5119

Step 2: Find the prime factorization of 10244

10244 = 2 x 2 x 13 x 197

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

LCM = 52439036 = 2 x 2 x 13 x 197 x 5119

Step 4: Therefore, the least common multiple of 10238 and 10244 is 52439036.