Least Common Multiple of 10261 and 10267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10261 and 10267 the smallest integer that is 105349687 that is divisible by both numbers.

Least Common Multiple (LCM) of 10261 and 10267 is 105349687.

LCM(10261,10267) = 105349687

LCM of 10261 and 10267

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

LCM of:
and

Least Common Multiple of 10261 and 10267

LCM of 10261 and 10267 is 105349687

Least common multiple can be found by multiplying the highest exponent prime factors of 10261 and 10267. First we will calculate the prime factors of 10261 and 10267.

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

Prime Factorization of 10267


10267 10267
1

Prime factors of 10267 are 10267. Prime factorization of 10267 in exponential form is:

10267 = 102671

Now multiplying the highest exponent prime factors to calculate the LCM of 10261 and 10267.

LCM(10261,10267) = 311×3311×102671
LCM(10261,10267) = 105349687

Factors of 10261

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

1, 31, 331, 10261

Factors of 10267

List of positive integer factors of 10267 that divides 10267 without a remainder.

1, 10267

Least Common Multiple of 10261 and 10267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10261 and 10267, than apply into the LCM equation.

GCF(10261,10267) = 1
LCM(10261,10267) = ( 10261 × 10267) / 1
LCM(10261,10267) = 105349687 / 1
LCM(10261,10267) = 105349687

Properties of LCM 10261 and 10267

(i) The LCM of 10267 and 10261 is associative

LCM of 10261 and 10267 = LCM of 10267 and 10261

Related Least Common Multiples of 10261

Related Least Common Multiples of 10267

Frequently Asked Questions on LCM of 10261 and 10267

1. What is the LCM of 10261 and 10267?

Answer: LCM of 10261 and 10267 is 105349687.

2. 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.

3. What are the Factors of 10267?

Answer: Factors of 10267 are 1, 10267. There are 2 integers that are factors of 10267. The greatest factor of 10267 is 10267.

4. How to Find the LCM of 10261 and 10267?

Answer:

Least Common Multiple of 10261 and 10267 = 105349687

Step 1: Find the prime factorization of 10261

10261 = 31 x 331

Step 2: Find the prime factorization of 10267

10267 = 10267

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

LCM = 105349687 = 31 x 331 x 10267

Step 4: Therefore, the least common multiple of 10261 and 10267 is 105349687.