Least Common Multiple of 10259 and 10265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10259 and 10265 the smallest integer that is 105308635 that is divisible by both numbers.

Least Common Multiple (LCM) of 10259 and 10265 is 105308635.

LCM(10259,10265) = 105308635

LCM of 10259 and 10265

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

LCM of:
and

Least Common Multiple of 10259 and 10265

LCM of 10259 and 10265 is 105308635

Least common multiple can be found by multiplying the highest exponent prime factors of 10259 and 10265. First we will calculate the prime factors of 10259 and 10265.

Prime Factorization of 10259


10259 10259
1

Prime factors of 10259 are 10259. Prime factorization of 10259 in exponential form is:

10259 = 102591

Prime Factorization of 10265


5 10265
2053 2053
1

Prime factors of 10265 are 5,2053. Prime factorization of 10265 in exponential form is:

10265 = 51×20531

Now multiplying the highest exponent prime factors to calculate the LCM of 10259 and 10265.

LCM(10259,10265) = 51×20531×102591
LCM(10259,10265) = 105308635

Factors of 10259

List of positive integer factors of 10259 that divides 10259 without a remainder.

1, 10259

Factors of 10265

List of positive integer factors of 10265 that divides 10265 without a remainder.

1, 5, 2053, 10265

Least Common Multiple of 10259 and 10265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10259 and 10265, than apply into the LCM equation.

GCF(10259,10265) = 1
LCM(10259,10265) = ( 10259 × 10265) / 1
LCM(10259,10265) = 105308635 / 1
LCM(10259,10265) = 105308635

Properties of LCM 10259 and 10265

(i) The LCM of 10265 and 10259 is associative

LCM of 10259 and 10265 = LCM of 10265 and 10259

Related Least Common Multiples of 10259

Related Least Common Multiples of 10265

Frequently Asked Questions on LCM of 10259 and 10265

1. What is the LCM of 10259 and 10265?

Answer: LCM of 10259 and 10265 is 105308635.

2. What are the Factors of 10259?

Answer: Factors of 10259 are 1, 10259. There are 2 integers that are factors of 10259. The greatest factor of 10259 is 10259.

3. What are the Factors of 10265?

Answer: Factors of 10265 are 1, 5, 2053, 10265. There are 4 integers that are factors of 10265. The greatest factor of 10265 is 10265.

4. How to Find the LCM of 10259 and 10265?

Answer:

Least Common Multiple of 10259 and 10265 = 105308635

Step 1: Find the prime factorization of 10259

10259 = 10259

Step 2: Find the prime factorization of 10265

10265 = 5 x 2053

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

LCM = 105308635 = 5 x 2053 x 10259

Step 4: Therefore, the least common multiple of 10259 and 10265 is 105308635.