Least Common Multiple of 10205 and 10212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10205 and 10212 the smallest integer that is 104213460 that is divisible by both numbers.

Least Common Multiple (LCM) of 10205 and 10212 is 104213460.

LCM(10205,10212) = 104213460

LCM of 10205 and 10212

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

LCM of:
and

Least Common Multiple of 10205 and 10212

LCM of 10205 and 10212 is 104213460

Least common multiple can be found by multiplying the highest exponent prime factors of 10205 and 10212. First we will calculate the prime factors of 10205 and 10212.

Prime Factorization of 10205


5 10205
13 2041
157 157
1

Prime factors of 10205 are 5, 13,157. Prime factorization of 10205 in exponential form is:

10205 = 51×131×1571

Prime Factorization of 10212


2 10212
2 5106
3 2553
23 851
37 37
1

Prime factors of 10212 are 2, 3, 23,37. Prime factorization of 10212 in exponential form is:

10212 = 22×31×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 10205 and 10212.

LCM(10205,10212) = 22×31×51×131×231×371×1571
LCM(10205,10212) = 104213460

Factors of 10205

List of positive integer factors of 10205 that divides 10205 without a remainder.

1, 5, 13, 65, 157, 785, 2041, 10205

Factors of 10212

List of positive integer factors of 10212 that divides 10212 without a remainder.

1, 2, 3, 4, 6, 12, 23, 37, 46, 69, 74, 92, 111, 138, 148, 222, 276, 444, 851, 1702, 2553, 3404, 5106, 10212

Least Common Multiple of 10205 and 10212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10205 and 10212, than apply into the LCM equation.

GCF(10205,10212) = 1
LCM(10205,10212) = ( 10205 × 10212) / 1
LCM(10205,10212) = 104213460 / 1
LCM(10205,10212) = 104213460

Properties of LCM 10205 and 10212

(i) The LCM of 10212 and 10205 is associative

LCM of 10205 and 10212 = LCM of 10212 and 10205

Related Least Common Multiples of 10205

Related Least Common Multiples of 10212

Frequently Asked Questions on LCM of 10205 and 10212

1. What is the LCM of 10205 and 10212?

Answer: LCM of 10205 and 10212 is 104213460.

2. What are the Factors of 10205?

Answer: Factors of 10205 are 1, 5, 13, 65, 157, 785, 2041, 10205. There are 8 integers that are factors of 10205. The greatest factor of 10205 is 10205.

3. What are the Factors of 10212?

Answer: Factors of 10212 are 1, 2, 3, 4, 6, 12, 23, 37, 46, 69, 74, 92, 111, 138, 148, 222, 276, 444, 851, 1702, 2553, 3404, 5106, 10212. There are 24 integers that are factors of 10212. The greatest factor of 10212 is 10212.

4. How to Find the LCM of 10205 and 10212?

Answer:

Least Common Multiple of 10205 and 10212 = 104213460

Step 1: Find the prime factorization of 10205

10205 = 5 x 13 x 157

Step 2: Find the prime factorization of 10212

10212 = 2 x 2 x 3 x 23 x 37

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

LCM = 104213460 = 2 x 2 x 3 x 5 x 13 x 23 x 37 x 157

Step 4: Therefore, the least common multiple of 10205 and 10212 is 104213460.