Least Common Multiple of 10215 and 10223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10215 and 10223 the smallest integer that is 104427945 that is divisible by both numbers.

Least Common Multiple (LCM) of 10215 and 10223 is 104427945.

LCM(10215,10223) = 104427945

LCM of 10215 and 10223

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

LCM of:
and

Least Common Multiple of 10215 and 10223

LCM of 10215 and 10223 is 104427945

Least common multiple can be found by multiplying the highest exponent prime factors of 10215 and 10223. First we will calculate the prime factors of 10215 and 10223.

Prime Factorization of 10215


3 10215
3 3405
5 1135
227 227
1

Prime factors of 10215 are 3, 5,227. Prime factorization of 10215 in exponential form is:

10215 = 32×51×2271

Prime Factorization of 10223


10223 10223
1

Prime factors of 10223 are 10223. Prime factorization of 10223 in exponential form is:

10223 = 102231

Now multiplying the highest exponent prime factors to calculate the LCM of 10215 and 10223.

LCM(10215,10223) = 32×51×2271×102231
LCM(10215,10223) = 104427945

Factors of 10215

List of positive integer factors of 10215 that divides 10215 without a remainder.

1, 3, 5, 9, 15, 45, 227, 681, 1135, 2043, 3405, 10215

Factors of 10223

List of positive integer factors of 10223 that divides 10223 without a remainder.

1, 10223

Least Common Multiple of 10215 and 10223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10215 and 10223, than apply into the LCM equation.

GCF(10215,10223) = 1
LCM(10215,10223) = ( 10215 × 10223) / 1
LCM(10215,10223) = 104427945 / 1
LCM(10215,10223) = 104427945

Properties of LCM 10215 and 10223

(i) The LCM of 10223 and 10215 is associative

LCM of 10215 and 10223 = LCM of 10223 and 10215

Related Least Common Multiples of 10215

Related Least Common Multiples of 10223

Frequently Asked Questions on LCM of 10215 and 10223

1. What is the LCM of 10215 and 10223?

Answer: LCM of 10215 and 10223 is 104427945.

2. What are the Factors of 10215?

Answer: Factors of 10215 are 1, 3, 5, 9, 15, 45, 227, 681, 1135, 2043, 3405, 10215. There are 12 integers that are factors of 10215. The greatest factor of 10215 is 10215.

3. What are the Factors of 10223?

Answer: Factors of 10223 are 1, 10223. There are 2 integers that are factors of 10223. The greatest factor of 10223 is 10223.

4. How to Find the LCM of 10215 and 10223?

Answer:

Least Common Multiple of 10215 and 10223 = 104427945

Step 1: Find the prime factorization of 10215

10215 = 3 x 3 x 5 x 227

Step 2: Find the prime factorization of 10223

10223 = 10223

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

LCM = 104427945 = 3 x 3 x 5 x 227 x 10223

Step 4: Therefore, the least common multiple of 10215 and 10223 is 104427945.