Least Common Multiple of 10218 and 10225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10218 and 10225 the smallest integer that is 104479050 that is divisible by both numbers.

Least Common Multiple (LCM) of 10218 and 10225 is 104479050.

LCM(10218,10225) = 104479050

LCM of 10218 and 10225

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

LCM of:
and

Least Common Multiple of 10218 and 10225

LCM of 10218 and 10225 is 104479050

Least common multiple can be found by multiplying the highest exponent prime factors of 10218 and 10225. First we will calculate the prime factors of 10218 and 10225.

Prime Factorization of 10218


2 10218
3 5109
13 1703
131 131
1

Prime factors of 10218 are 2, 3, 13,131. Prime factorization of 10218 in exponential form is:

10218 = 21×31×131×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10225.

LCM(10218,10225) = 21×31×52×131×1311×4091
LCM(10218,10225) = 104479050

Factors of 10218

List of positive integer factors of 10218 that divides 10218 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218

Factors of 10225

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

1, 5, 25, 409, 2045, 10225

Least Common Multiple of 10218 and 10225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10225, than apply into the LCM equation.

GCF(10218,10225) = 1
LCM(10218,10225) = ( 10218 × 10225) / 1
LCM(10218,10225) = 104479050 / 1
LCM(10218,10225) = 104479050

Properties of LCM 10218 and 10225

(i) The LCM of 10225 and 10218 is associative

LCM of 10218 and 10225 = LCM of 10225 and 10218

Related Least Common Multiples of 10218

Related Least Common Multiples of 10225

Frequently Asked Questions on LCM of 10218 and 10225

1. What is the LCM of 10218 and 10225?

Answer: LCM of 10218 and 10225 is 104479050.

2. What are the Factors of 10218?

Answer: Factors of 10218 are 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218. There are 16 integers that are factors of 10218. The greatest factor of 10218 is 10218.

3. 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.

4. How to Find the LCM of 10218 and 10225?

Answer:

Least Common Multiple of 10218 and 10225 = 104479050

Step 1: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

Step 2: Find the prime factorization of 10225

10225 = 5 x 5 x 409

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

LCM = 104479050 = 2 x 3 x 5 x 5 x 13 x 131 x 409

Step 4: Therefore, the least common multiple of 10218 and 10225 is 104479050.