Least Common Multiple of 10212 and 10218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10212 and 10218 the smallest integer that is 17391036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10212 and 10218 is 17391036.

LCM(10212,10218) = 17391036

LCM of 10212 and 10218

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

LCM of:
and

Least Common Multiple of 10212 and 10218

LCM of 10212 and 10218 is 17391036

Least common multiple can be found by multiplying the highest exponent prime factors of 10212 and 10218. First we will calculate the prime factors of 10212 and 10218.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10212 and 10218.

LCM(10212,10218) = 22×31×131×231×371×1311
LCM(10212,10218) = 17391036

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

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

Least Common Multiple of 10212 and 10218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10212 and 10218, than apply into the LCM equation.

GCF(10212,10218) = 6
LCM(10212,10218) = ( 10212 × 10218) / 6
LCM(10212,10218) = 104346216 / 6
LCM(10212,10218) = 17391036

Properties of LCM 10212 and 10218

(i) The LCM of 10218 and 10212 is associative

LCM of 10212 and 10218 = LCM of 10218 and 10212

Related Least Common Multiples of 10212

Related Least Common Multiples of 10218

Frequently Asked Questions on LCM of 10212 and 10218

1. What is the LCM of 10212 and 10218?

Answer: LCM of 10212 and 10218 is 17391036.

2. 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.

3. 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.

4. How to Find the LCM of 10212 and 10218?

Answer:

Least Common Multiple of 10212 and 10218 = 17391036

Step 1: Find the prime factorization of 10212

10212 = 2 x 2 x 3 x 23 x 37

Step 2: Find the prime factorization of 10218

10218 = 2 x 3 x 13 x 131

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

LCM = 17391036 = 2 x 2 x 3 x 13 x 23 x 37 x 131

Step 4: Therefore, the least common multiple of 10212 and 10218 is 17391036.