Least Common Multiple of 17201 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 17201 and 17208 the smallest integer that is 295994808 that is divisible by both numbers.

Least Common Multiple (LCM) of 17201 and 17208 is 295994808.

LCM(17201,17208) = 295994808

LCM of 17201 and 17208

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

LCM of:
and

Least Common Multiple of 17201 and 17208

LCM of 17201 and 17208 is 295994808

Least common multiple can be found by multiplying the highest exponent prime factors of 17201 and 17208. First we will calculate the prime factors of 17201 and 17208.

Prime Factorization of 17201


103 17201
167 167
1

Prime factors of 17201 are 103,167. Prime factorization of 17201 in exponential form is:

17201 = 1031×1671

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 17201 and 17208.

LCM(17201,17208) = 23×32×1031×1671×2391
LCM(17201,17208) = 295994808

Factors of 17201

List of positive integer factors of 17201 that divides 17201 without a remainder.

1, 103, 167, 17201

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 17201 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 17201 and 17208, than apply into the LCM equation.

GCF(17201,17208) = 1
LCM(17201,17208) = ( 17201 × 17208) / 1
LCM(17201,17208) = 295994808 / 1
LCM(17201,17208) = 295994808

Properties of LCM 17201 and 17208

(i) The LCM of 17208 and 17201 is associative

LCM of 17201 and 17208 = LCM of 17208 and 17201

Related Least Common Multiples of 17201

Related Least Common Multiples of 17208

Frequently Asked Questions on LCM of 17201 and 17208

1. What is the LCM of 17201 and 17208?

Answer: LCM of 17201 and 17208 is 295994808.

2. What are the Factors of 17201?

Answer: Factors of 17201 are 1, 103, 167, 17201. There are 4 integers that are factors of 17201. The greatest factor of 17201 is 17201.

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 17201 and 17208?

Answer:

Least Common Multiple of 17201 and 17208 = 295994808

Step 1: Find the prime factorization of 17201

17201 = 103 x 167

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 = 295994808 = 2 x 2 x 2 x 3 x 3 x 103 x 167 x 239

Step 4: Therefore, the least common multiple of 17201 and 17208 is 295994808.