Least Common Multiple of 17207 and 17210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17207 and 17210 the smallest integer that is 296132470 that is divisible by both numbers.

Least Common Multiple (LCM) of 17207 and 17210 is 296132470.

LCM(17207,17210) = 296132470

LCM of 17207 and 17210

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

LCM of:
and

Least Common Multiple of 17207 and 17210

LCM of 17207 and 17210 is 296132470

Least common multiple can be found by multiplying the highest exponent prime factors of 17207 and 17210. First we will calculate the prime factors of 17207 and 17210.

Prime Factorization of 17207


17207 17207
1

Prime factors of 17207 are 17207. Prime factorization of 17207 in exponential form is:

17207 = 172071

Prime Factorization of 17210


2 17210
5 8605
1721 1721
1

Prime factors of 17210 are 2, 5,1721. Prime factorization of 17210 in exponential form is:

17210 = 21×51×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 17207 and 17210.

LCM(17207,17210) = 21×51×17211×172071
LCM(17207,17210) = 296132470

Factors of 17207

List of positive integer factors of 17207 that divides 17207 without a remainder.

1, 17207

Factors of 17210

List of positive integer factors of 17210 that divides 17210 without a remainder.

1, 2, 5, 10, 1721, 3442, 8605, 17210

Least Common Multiple of 17207 and 17210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17207 and 17210, than apply into the LCM equation.

GCF(17207,17210) = 1
LCM(17207,17210) = ( 17207 × 17210) / 1
LCM(17207,17210) = 296132470 / 1
LCM(17207,17210) = 296132470

Properties of LCM 17207 and 17210

(i) The LCM of 17210 and 17207 is associative

LCM of 17207 and 17210 = LCM of 17210 and 17207

Related Least Common Multiples of 17207

Related Least Common Multiples of 17210

Frequently Asked Questions on LCM of 17207 and 17210

1. What is the LCM of 17207 and 17210?

Answer: LCM of 17207 and 17210 is 296132470.

2. What are the Factors of 17207?

Answer: Factors of 17207 are 1, 17207. There are 2 integers that are factors of 17207. The greatest factor of 17207 is 17207.

3. What are the Factors of 17210?

Answer: Factors of 17210 are 1, 2, 5, 10, 1721, 3442, 8605, 17210. There are 8 integers that are factors of 17210. The greatest factor of 17210 is 17210.

4. How to Find the LCM of 17207 and 17210?

Answer:

Least Common Multiple of 17207 and 17210 = 296132470

Step 1: Find the prime factorization of 17207

17207 = 17207

Step 2: Find the prime factorization of 17210

17210 = 2 x 5 x 1721

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

LCM = 296132470 = 2 x 5 x 1721 x 17207

Step 4: Therefore, the least common multiple of 17207 and 17210 is 296132470.