Least Common Multiple of 17210 and 17215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17210 and 17215 the smallest integer that is 59254030 that is divisible by both numbers.

Least Common Multiple (LCM) of 17210 and 17215 is 59254030.

LCM(17210,17215) = 59254030

LCM of 17210 and 17215

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

LCM of:
and

Least Common Multiple of 17210 and 17215

LCM of 17210 and 17215 is 59254030

Least common multiple can be found by multiplying the highest exponent prime factors of 17210 and 17215. First we will calculate the prime factors of 17210 and 17215.

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

Prime Factorization of 17215


5 17215
11 3443
313 313
1

Prime factors of 17215 are 5, 11,313. Prime factorization of 17215 in exponential form is:

17215 = 51×111×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 17210 and 17215.

LCM(17210,17215) = 21×51×111×3131×17211
LCM(17210,17215) = 59254030

Factors of 17210

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

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

Factors of 17215

List of positive integer factors of 17215 that divides 17215 without a remainder.

1, 5, 11, 55, 313, 1565, 3443, 17215

Least Common Multiple of 17210 and 17215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17210 and 17215, than apply into the LCM equation.

GCF(17210,17215) = 5
LCM(17210,17215) = ( 17210 × 17215) / 5
LCM(17210,17215) = 296270150 / 5
LCM(17210,17215) = 59254030

Properties of LCM 17210 and 17215

(i) The LCM of 17215 and 17210 is associative

LCM of 17210 and 17215 = LCM of 17215 and 17210

Related Least Common Multiples of 17210

Related Least Common Multiples of 17215

Frequently Asked Questions on LCM of 17210 and 17215

1. What is the LCM of 17210 and 17215?

Answer: LCM of 17210 and 17215 is 59254030.

2. 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.

3. What are the Factors of 17215?

Answer: Factors of 17215 are 1, 5, 11, 55, 313, 1565, 3443, 17215. There are 8 integers that are factors of 17215. The greatest factor of 17215 is 17215.

4. How to Find the LCM of 17210 and 17215?

Answer:

Least Common Multiple of 17210 and 17215 = 59254030

Step 1: Find the prime factorization of 17210

17210 = 2 x 5 x 1721

Step 2: Find the prime factorization of 17215

17215 = 5 x 11 x 313

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

LCM = 59254030 = 2 x 5 x 11 x 313 x 1721

Step 4: Therefore, the least common multiple of 17210 and 17215 is 59254030.