Least Common Multiple of 10225 and 10232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10225 and 10232 the smallest integer that is 104622200 that is divisible by both numbers.

Least Common Multiple (LCM) of 10225 and 10232 is 104622200.

LCM(10225,10232) = 104622200

LCM of 10225 and 10232

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

LCM of:
and

Least Common Multiple of 10225 and 10232

LCM of 10225 and 10232 is 104622200

Least common multiple can be found by multiplying the highest exponent prime factors of 10225 and 10232. First we will calculate the prime factors of 10225 and 10232.

Prime Factorization of 10225


5 10225
5 2045
409 409
1

Prime factors of 10225 are 5,409. Prime factorization of 10225 in exponential form is:

10225 = 52×4091

Prime Factorization of 10232


2 10232
2 5116
2 2558
1279 1279
1

Prime factors of 10232 are 2,1279. Prime factorization of 10232 in exponential form is:

10232 = 23×12791

Now multiplying the highest exponent prime factors to calculate the LCM of 10225 and 10232.

LCM(10225,10232) = 23×52×4091×12791
LCM(10225,10232) = 104622200

Factors of 10225

List of positive integer factors of 10225 that divides 10225 without a remainder.

1, 5, 25, 409, 2045, 10225

Factors of 10232

List of positive integer factors of 10232 that divides 10232 without a remainder.

1, 2, 4, 8, 1279, 2558, 5116, 10232

Least Common Multiple of 10225 and 10232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10225 and 10232, than apply into the LCM equation.

GCF(10225,10232) = 1
LCM(10225,10232) = ( 10225 × 10232) / 1
LCM(10225,10232) = 104622200 / 1
LCM(10225,10232) = 104622200

Properties of LCM 10225 and 10232

(i) The LCM of 10232 and 10225 is associative

LCM of 10225 and 10232 = LCM of 10232 and 10225

Related Least Common Multiples of 10225

Related Least Common Multiples of 10232

Frequently Asked Questions on LCM of 10225 and 10232

1. What is the LCM of 10225 and 10232?

Answer: LCM of 10225 and 10232 is 104622200.

2. What are the Factors of 10225?

Answer: Factors of 10225 are 1, 5, 25, 409, 2045, 10225. There are 6 integers that are factors of 10225. The greatest factor of 10225 is 10225.

3. What are the Factors of 10232?

Answer: Factors of 10232 are 1, 2, 4, 8, 1279, 2558, 5116, 10232. There are 8 integers that are factors of 10232. The greatest factor of 10232 is 10232.

4. How to Find the LCM of 10225 and 10232?

Answer:

Least Common Multiple of 10225 and 10232 = 104622200

Step 1: Find the prime factorization of 10225

10225 = 5 x 5 x 409

Step 2: Find the prime factorization of 10232

10232 = 2 x 2 x 2 x 1279

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

LCM = 104622200 = 2 x 2 x 2 x 5 x 5 x 409 x 1279

Step 4: Therefore, the least common multiple of 10225 and 10232 is 104622200.