Least Common Multiple of 10212 and 10216

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 10216 the smallest integer that is 26081448 that is divisible by both numbers.

Least Common Multiple (LCM) of 10212 and 10216 is 26081448.

LCM(10212,10216) = 26081448

LCM of 10212 and 10216

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

LCM of:
and

Least Common Multiple of 10212 and 10216

LCM of 10212 and 10216 is 26081448

Least common multiple can be found by multiplying the highest exponent prime factors of 10212 and 10216. First we will calculate the prime factors of 10212 and 10216.

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 10216


2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 10216 are 2,1277. Prime factorization of 10216 in exponential form is:

10216 = 23×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 10212 and 10216.

LCM(10212,10216) = 23×31×231×371×12771
LCM(10212,10216) = 26081448

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 10216

List of positive integer factors of 10216 that divides 10216 without a remainder.

1, 2, 4, 8, 1277, 2554, 5108, 10216

Least Common Multiple of 10212 and 10216 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 10216, than apply into the LCM equation.

GCF(10212,10216) = 4
LCM(10212,10216) = ( 10212 × 10216) / 4
LCM(10212,10216) = 104325792 / 4
LCM(10212,10216) = 26081448

Properties of LCM 10212 and 10216

(i) The LCM of 10216 and 10212 is associative

LCM of 10212 and 10216 = LCM of 10216 and 10212

Related Least Common Multiples of 10212

Related Least Common Multiples of 10216

Frequently Asked Questions on LCM of 10212 and 10216

1. What is the LCM of 10212 and 10216?

Answer: LCM of 10212 and 10216 is 26081448.

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 10216?

Answer: Factors of 10216 are 1, 2, 4, 8, 1277, 2554, 5108, 10216. There are 8 integers that are factors of 10216. The greatest factor of 10216 is 10216.

4. How to Find the LCM of 10212 and 10216?

Answer:

Least Common Multiple of 10212 and 10216 = 26081448

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 10216

10216 = 2 x 2 x 2 x 1277

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

LCM = 26081448 = 2 x 2 x 2 x 3 x 23 x 37 x 1277

Step 4: Therefore, the least common multiple of 10212 and 10216 is 26081448.