Least Common Multiple of 10212 and 10217

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 10217 the smallest integer that is 104336004 that is divisible by both numbers.

Least Common Multiple (LCM) of 10212 and 10217 is 104336004.

LCM(10212,10217) = 104336004

LCM of 10212 and 10217

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

LCM of:
and

Least Common Multiple of 10212 and 10217

LCM of 10212 and 10217 is 104336004

Least common multiple can be found by multiplying the highest exponent prime factors of 10212 and 10217. First we will calculate the prime factors of 10212 and 10217.

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 10217


17 10217
601 601
1

Prime factors of 10217 are 17,601. Prime factorization of 10217 in exponential form is:

10217 = 171×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 10212 and 10217.

LCM(10212,10217) = 22×31×171×231×371×6011
LCM(10212,10217) = 104336004

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 10217

List of positive integer factors of 10217 that divides 10217 without a remainder.

1, 17, 601, 10217

Least Common Multiple of 10212 and 10217 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 10217, than apply into the LCM equation.

GCF(10212,10217) = 1
LCM(10212,10217) = ( 10212 × 10217) / 1
LCM(10212,10217) = 104336004 / 1
LCM(10212,10217) = 104336004

Properties of LCM 10212 and 10217

(i) The LCM of 10217 and 10212 is associative

LCM of 10212 and 10217 = LCM of 10217 and 10212

Related Least Common Multiples of 10212

Related Least Common Multiples of 10217

Frequently Asked Questions on LCM of 10212 and 10217

1. What is the LCM of 10212 and 10217?

Answer: LCM of 10212 and 10217 is 104336004.

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 10217?

Answer: Factors of 10217 are 1, 17, 601, 10217. There are 4 integers that are factors of 10217. The greatest factor of 10217 is 10217.

4. How to Find the LCM of 10212 and 10217?

Answer:

Least Common Multiple of 10212 and 10217 = 104336004

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 10217

10217 = 17 x 601

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

LCM = 104336004 = 2 x 2 x 3 x 17 x 23 x 37 x 601

Step 4: Therefore, the least common multiple of 10212 and 10217 is 104336004.