Least Common Multiple of 17206 and 17208

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 17208 the smallest integer that is 148040424 that is divisible by both numbers.

Least Common Multiple (LCM) of 17206 and 17208 is 148040424.

LCM(17206,17208) = 148040424

LCM of 17206 and 17208

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

LCM of:
and

Least Common Multiple of 17206 and 17208

LCM of 17206 and 17208 is 148040424

Least common multiple can be found by multiplying the highest exponent prime factors of 17206 and 17208. First we will calculate the prime factors of 17206 and 17208.

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 17208


2 17208
2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 17208 are 2, 3,239. Prime factorization of 17208 in exponential form is:

17208 = 23×32×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 17206 and 17208.

LCM(17206,17208) = 23×32×71×2391×12291
LCM(17206,17208) = 148040424

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 17208

List of positive integer factors of 17208 that divides 17208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 8604, 17208

Least Common Multiple of 17206 and 17208 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 17208, than apply into the LCM equation.

GCF(17206,17208) = 2
LCM(17206,17208) = ( 17206 × 17208) / 2
LCM(17206,17208) = 296080848 / 2
LCM(17206,17208) = 148040424

Properties of LCM 17206 and 17208

(i) The LCM of 17208 and 17206 is associative

LCM of 17206 and 17208 = LCM of 17208 and 17206

Related Least Common Multiples of 17206

Related Least Common Multiples of 17208

Frequently Asked Questions on LCM of 17206 and 17208

1. What is the LCM of 17206 and 17208?

Answer: LCM of 17206 and 17208 is 148040424.

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 17208?

Answer: Factors of 17208 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 8604, 17208. There are 24 integers that are factors of 17208. The greatest factor of 17208 is 17208.

4. How to Find the LCM of 17206 and 17208?

Answer:

Least Common Multiple of 17206 and 17208 = 148040424

Step 1: Find the prime factorization of 17206

17206 = 2 x 7 x 1229

Step 2: Find the prime factorization of 17208

17208 = 2 x 2 x 2 x 3 x 3 x 239

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

LCM = 148040424 = 2 x 2 x 2 x 3 x 3 x 7 x 239 x 1229

Step 4: Therefore, the least common multiple of 17206 and 17208 is 148040424.