Least Common Multiple of 10207 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 10207 and 10212 the smallest integer that is 104233884 that is divisible by both numbers.

Least Common Multiple (LCM) of 10207 and 10212 is 104233884.

LCM(10207,10212) = 104233884

LCM of 10207 and 10212

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

LCM of:
and

Least Common Multiple of 10207 and 10212

LCM of 10207 and 10212 is 104233884

Least common multiple can be found by multiplying the highest exponent prime factors of 10207 and 10212. First we will calculate the prime factors of 10207 and 10212.

Prime Factorization of 10207


59 10207
173 173
1

Prime factors of 10207 are 59,173. Prime factorization of 10207 in exponential form is:

10207 = 591×1731

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 10207 and 10212.

LCM(10207,10212) = 22×31×231×371×591×1731
LCM(10207,10212) = 104233884

Factors of 10207

List of positive integer factors of 10207 that divides 10207 without a remainder.

1, 59, 173, 10207

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 10207 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 10207 and 10212, than apply into the LCM equation.

GCF(10207,10212) = 1
LCM(10207,10212) = ( 10207 × 10212) / 1
LCM(10207,10212) = 104233884 / 1
LCM(10207,10212) = 104233884

Properties of LCM 10207 and 10212

(i) The LCM of 10212 and 10207 is associative

LCM of 10207 and 10212 = LCM of 10212 and 10207

Related Least Common Multiples of 10207

Related Least Common Multiples of 10212

Frequently Asked Questions on LCM of 10207 and 10212

1. What is the LCM of 10207 and 10212?

Answer: LCM of 10207 and 10212 is 104233884.

2. What are the Factors of 10207?

Answer: Factors of 10207 are 1, 59, 173, 10207. There are 4 integers that are factors of 10207. The greatest factor of 10207 is 10207.

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 10207 and 10212?

Answer:

Least Common Multiple of 10207 and 10212 = 104233884

Step 1: Find the prime factorization of 10207

10207 = 59 x 173

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 = 104233884 = 2 x 2 x 3 x 23 x 37 x 59 x 173

Step 4: Therefore, the least common multiple of 10207 and 10212 is 104233884.