Least Common Multiple of 10239 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 10239 and 10244 the smallest integer that is 104888316 that is divisible by both numbers.

Least Common Multiple (LCM) of 10239 and 10244 is 104888316.

LCM(10239,10244) = 104888316

LCM of 10239 and 10244

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

LCM of:
and

Least Common Multiple of 10239 and 10244

LCM of 10239 and 10244 is 104888316

Least common multiple can be found by multiplying the highest exponent prime factors of 10239 and 10244. First we will calculate the prime factors of 10239 and 10244.

Prime Factorization of 10239


3 10239
3413 3413
1

Prime factors of 10239 are 3,3413. Prime factorization of 10239 in exponential form is:

10239 = 31×34131

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 10239 and 10244.

LCM(10239,10244) = 22×31×131×1971×34131
LCM(10239,10244) = 104888316

Factors of 10239

List of positive integer factors of 10239 that divides 10239 without a remainder.

1, 3, 3413, 10239

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 10239 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 10239 and 10244, than apply into the LCM equation.

GCF(10239,10244) = 1
LCM(10239,10244) = ( 10239 × 10244) / 1
LCM(10239,10244) = 104888316 / 1
LCM(10239,10244) = 104888316

Properties of LCM 10239 and 10244

(i) The LCM of 10244 and 10239 is associative

LCM of 10239 and 10244 = LCM of 10244 and 10239

Related Least Common Multiples of 10239

Related Least Common Multiples of 10244

Frequently Asked Questions on LCM of 10239 and 10244

1. What is the LCM of 10239 and 10244?

Answer: LCM of 10239 and 10244 is 104888316.

2. What are the Factors of 10239?

Answer: Factors of 10239 are 1, 3, 3413, 10239. There are 4 integers that are factors of 10239. The greatest factor of 10239 is 10239.

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 10239 and 10244?

Answer:

Least Common Multiple of 10239 and 10244 = 104888316

Step 1: Find the prime factorization of 10239

10239 = 3 x 3413

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 = 104888316 = 2 x 2 x 3 x 13 x 197 x 3413

Step 4: Therefore, the least common multiple of 10239 and 10244 is 104888316.