Least Common Multiple of 10268 and 10273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10268 and 10273 the smallest integer that is 105483164 that is divisible by both numbers.

Least Common Multiple (LCM) of 10268 and 10273 is 105483164.

LCM(10268,10273) = 105483164

LCM of 10268 and 10273

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

LCM of:
and

Least Common Multiple of 10268 and 10273

LCM of 10268 and 10273 is 105483164

Least common multiple can be found by multiplying the highest exponent prime factors of 10268 and 10273. First we will calculate the prime factors of 10268 and 10273.

Prime Factorization of 10268


2 10268
2 5134
17 2567
151 151
1

Prime factors of 10268 are 2, 17,151. Prime factorization of 10268 in exponential form is:

10268 = 22×171×1511

Prime Factorization of 10273


10273 10273
1

Prime factors of 10273 are 10273. Prime factorization of 10273 in exponential form is:

10273 = 102731

Now multiplying the highest exponent prime factors to calculate the LCM of 10268 and 10273.

LCM(10268,10273) = 22×171×1511×102731
LCM(10268,10273) = 105483164

Factors of 10268

List of positive integer factors of 10268 that divides 10268 without a remainder.

1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134, 10268

Factors of 10273

List of positive integer factors of 10273 that divides 10273 without a remainder.

1, 10273

Least Common Multiple of 10268 and 10273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10268 and 10273, than apply into the LCM equation.

GCF(10268,10273) = 1
LCM(10268,10273) = ( 10268 × 10273) / 1
LCM(10268,10273) = 105483164 / 1
LCM(10268,10273) = 105483164

Properties of LCM 10268 and 10273

(i) The LCM of 10273 and 10268 is associative

LCM of 10268 and 10273 = LCM of 10273 and 10268

Related Least Common Multiples of 10268

Related Least Common Multiples of 10273

Frequently Asked Questions on LCM of 10268 and 10273

1. What is the LCM of 10268 and 10273?

Answer: LCM of 10268 and 10273 is 105483164.

2. What are the Factors of 10268?

Answer: Factors of 10268 are 1, 2, 4, 17, 34, 68, 151, 302, 604, 2567, 5134, 10268. There are 12 integers that are factors of 10268. The greatest factor of 10268 is 10268.

3. What are the Factors of 10273?

Answer: Factors of 10273 are 1, 10273. There are 2 integers that are factors of 10273. The greatest factor of 10273 is 10273.

4. How to Find the LCM of 10268 and 10273?

Answer:

Least Common Multiple of 10268 and 10273 = 105483164

Step 1: Find the prime factorization of 10268

10268 = 2 x 2 x 17 x 151

Step 2: Find the prime factorization of 10273

10273 = 10273

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

LCM = 105483164 = 2 x 2 x 17 x 151 x 10273

Step 4: Therefore, the least common multiple of 10268 and 10273 is 105483164.