Least Common Multiple of 10253 and 10261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10253 and 10261 the smallest integer that is 105206033 that is divisible by both numbers.

Least Common Multiple (LCM) of 10253 and 10261 is 105206033.

LCM(10253,10261) = 105206033

LCM of 10253 and 10261

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

LCM of:
and

Least Common Multiple of 10253 and 10261

LCM of 10253 and 10261 is 105206033

Least common multiple can be found by multiplying the highest exponent prime factors of 10253 and 10261. First we will calculate the prime factors of 10253 and 10261.

Prime Factorization of 10253


10253 10253
1

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

10253 = 102531

Prime Factorization of 10261


31 10261
331 331
1

Prime factors of 10261 are 31,331. Prime factorization of 10261 in exponential form is:

10261 = 311×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 10253 and 10261.

LCM(10253,10261) = 311×3311×102531
LCM(10253,10261) = 105206033

Factors of 10253

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

1, 10253

Factors of 10261

List of positive integer factors of 10261 that divides 10261 without a remainder.

1, 31, 331, 10261

Least Common Multiple of 10253 and 10261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10253 and 10261, than apply into the LCM equation.

GCF(10253,10261) = 1
LCM(10253,10261) = ( 10253 × 10261) / 1
LCM(10253,10261) = 105206033 / 1
LCM(10253,10261) = 105206033

Properties of LCM 10253 and 10261

(i) The LCM of 10261 and 10253 is associative

LCM of 10253 and 10261 = LCM of 10261 and 10253

Related Least Common Multiples of 10253

Related Least Common Multiples of 10261

Frequently Asked Questions on LCM of 10253 and 10261

1. What is the LCM of 10253 and 10261?

Answer: LCM of 10253 and 10261 is 105206033.

2. 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.

3. What are the Factors of 10261?

Answer: Factors of 10261 are 1, 31, 331, 10261. There are 4 integers that are factors of 10261. The greatest factor of 10261 is 10261.

4. How to Find the LCM of 10253 and 10261?

Answer:

Least Common Multiple of 10253 and 10261 = 105206033

Step 1: Find the prime factorization of 10253

10253 = 10253

Step 2: Find the prime factorization of 10261

10261 = 31 x 331

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

LCM = 105206033 = 31 x 331 x 10253

Step 4: Therefore, the least common multiple of 10253 and 10261 is 105206033.