Least Common Multiple of 17206 and 17209

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 17209 the smallest integer that is 296098054 that is divisible by both numbers.

Least Common Multiple (LCM) of 17206 and 17209 is 296098054.

LCM(17206,17209) = 296098054

LCM of 17206 and 17209

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

LCM of:
and

Least Common Multiple of 17206 and 17209

LCM of 17206 and 17209 is 296098054

Least common multiple can be found by multiplying the highest exponent prime factors of 17206 and 17209. First we will calculate the prime factors of 17206 and 17209.

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 17209


17209 17209
1

Prime factors of 17209 are 17209. Prime factorization of 17209 in exponential form is:

17209 = 172091

Now multiplying the highest exponent prime factors to calculate the LCM of 17206 and 17209.

LCM(17206,17209) = 21×71×12291×172091
LCM(17206,17209) = 296098054

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 17209

List of positive integer factors of 17209 that divides 17209 without a remainder.

1, 17209

Least Common Multiple of 17206 and 17209 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 17209, than apply into the LCM equation.

GCF(17206,17209) = 1
LCM(17206,17209) = ( 17206 × 17209) / 1
LCM(17206,17209) = 296098054 / 1
LCM(17206,17209) = 296098054

Properties of LCM 17206 and 17209

(i) The LCM of 17209 and 17206 is associative

LCM of 17206 and 17209 = LCM of 17209 and 17206

Related Least Common Multiples of 17206

Related Least Common Multiples of 17209

Frequently Asked Questions on LCM of 17206 and 17209

1. What is the LCM of 17206 and 17209?

Answer: LCM of 17206 and 17209 is 296098054.

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 17209?

Answer: Factors of 17209 are 1, 17209. There are 2 integers that are factors of 17209. The greatest factor of 17209 is 17209.

4. How to Find the LCM of 17206 and 17209?

Answer:

Least Common Multiple of 17206 and 17209 = 296098054

Step 1: Find the prime factorization of 17206

17206 = 2 x 7 x 1229

Step 2: Find the prime factorization of 17209

17209 = 17209

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

LCM = 296098054 = 2 x 7 x 1229 x 17209

Step 4: Therefore, the least common multiple of 17206 and 17209 is 296098054.