Least Common Multiple of 10245 and 10253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10245 and 10253 the smallest integer that is 105041985 that is divisible by both numbers.

Least Common Multiple (LCM) of 10245 and 10253 is 105041985.

LCM(10245,10253) = 105041985

LCM of 10245 and 10253

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

LCM of:
and

Least Common Multiple of 10245 and 10253

LCM of 10245 and 10253 is 105041985

Least common multiple can be found by multiplying the highest exponent prime factors of 10245 and 10253. First we will calculate the prime factors of 10245 and 10253.

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

Prime Factorization of 10253


10253 10253
1

Prime factors of 10253 are 10253. Prime factorization of 10253 in exponential form is:

10253 = 102531

Now multiplying the highest exponent prime factors to calculate the LCM of 10245 and 10253.

LCM(10245,10253) = 31×51×6831×102531
LCM(10245,10253) = 105041985

Factors of 10245

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

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

Factors of 10253

List of positive integer factors of 10253 that divides 10253 without a remainder.

1, 10253

Least Common Multiple of 10245 and 10253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10245 and 10253, than apply into the LCM equation.

GCF(10245,10253) = 1
LCM(10245,10253) = ( 10245 × 10253) / 1
LCM(10245,10253) = 105041985 / 1
LCM(10245,10253) = 105041985

Properties of LCM 10245 and 10253

(i) The LCM of 10253 and 10245 is associative

LCM of 10245 and 10253 = LCM of 10253 and 10245

Related Least Common Multiples of 10245

Related Least Common Multiples of 10253

Frequently Asked Questions on LCM of 10245 and 10253

1. What is the LCM of 10245 and 10253?

Answer: LCM of 10245 and 10253 is 105041985.

2. 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.

3. What are the Factors of 10253?

Answer: Factors of 10253 are 1, 10253. There are 2 integers that are factors of 10253. The greatest factor of 10253 is 10253.

4. How to Find the LCM of 10245 and 10253?

Answer:

Least Common Multiple of 10245 and 10253 = 105041985

Step 1: Find the prime factorization of 10245

10245 = 3 x 5 x 683

Step 2: Find the prime factorization of 10253

10253 = 10253

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

LCM = 105041985 = 3 x 5 x 683 x 10253

Step 4: Therefore, the least common multiple of 10245 and 10253 is 105041985.