Least Common Multiple of 17206 and 17212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17206 and 17212 the smallest integer that is 148074836 that is divisible by both numbers.

Least Common Multiple (LCM) of 17206 and 17212 is 148074836.

LCM(17206,17212) = 148074836

LCM of 17206 and 17212

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

LCM of:
and

Least Common Multiple of 17206 and 17212

LCM of 17206 and 17212 is 148074836

Least common multiple can be found by multiplying the highest exponent prime factors of 17206 and 17212. First we will calculate the prime factors of 17206 and 17212.

Prime Factorization of 17206


2 17206
7 8603
1229 1229
1

Prime factors of 17206 are 2, 7,1229. Prime factorization of 17206 in exponential form is:

17206 = 21×71×12291

Prime Factorization of 17212


2 17212
2 8606
13 4303
331 331
1

Prime factors of 17212 are 2, 13,331. Prime factorization of 17212 in exponential form is:

17212 = 22×131×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 17206 and 17212.

LCM(17206,17212) = 22×71×131×3311×12291
LCM(17206,17212) = 148074836

Factors of 17206

List of positive integer factors of 17206 that divides 17206 without a remainder.

1, 2, 7, 14, 1229, 2458, 8603, 17206

Factors of 17212

List of positive integer factors of 17212 that divides 17212 without a remainder.

1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212

Least Common Multiple of 17206 and 17212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17206 and 17212, than apply into the LCM equation.

GCF(17206,17212) = 2
LCM(17206,17212) = ( 17206 × 17212) / 2
LCM(17206,17212) = 296149672 / 2
LCM(17206,17212) = 148074836

Properties of LCM 17206 and 17212

(i) The LCM of 17212 and 17206 is associative

LCM of 17206 and 17212 = LCM of 17212 and 17206

Related Least Common Multiples of 17206

Related Least Common Multiples of 17212

Frequently Asked Questions on LCM of 17206 and 17212

1. What is the LCM of 17206 and 17212?

Answer: LCM of 17206 and 17212 is 148074836.

2. What are the Factors of 17206?

Answer: Factors of 17206 are 1, 2, 7, 14, 1229, 2458, 8603, 17206. There are 8 integers that are factors of 17206. The greatest factor of 17206 is 17206.

3. What are the Factors of 17212?

Answer: Factors of 17212 are 1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212. There are 12 integers that are factors of 17212. The greatest factor of 17212 is 17212.

4. How to Find the LCM of 17206 and 17212?

Answer:

Least Common Multiple of 17206 and 17212 = 148074836

Step 1: Find the prime factorization of 17206

17206 = 2 x 7 x 1229

Step 2: Find the prime factorization of 17212

17212 = 2 x 2 x 13 x 331

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

LCM = 148074836 = 2 x 2 x 7 x 13 x 331 x 1229

Step 4: Therefore, the least common multiple of 17206 and 17212 is 148074836.