Least Common Multiple of 17212 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 17212 and 17215 the smallest integer that is 296304580 that is divisible by both numbers.

Least Common Multiple (LCM) of 17212 and 17215 is 296304580.

LCM(17212,17215) = 296304580

LCM of 17212 and 17215

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

LCM of:
and

Least Common Multiple of 17212 and 17215

LCM of 17212 and 17215 is 296304580

Least common multiple can be found by multiplying the highest exponent prime factors of 17212 and 17215. First we will calculate the prime factors of 17212 and 17215.

Prime Factorization of 17212


2 17212
2 8606
13 4303
331 331
1

Prime factors of 17212 are 2, 13,331. Prime factorization of 17212 in exponential form is:

17212 = 22×131×3311

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 17212 and 17215.

LCM(17212,17215) = 22×51×111×131×3131×3311
LCM(17212,17215) = 296304580

Factors of 17212

List of positive integer factors of 17212 that divides 17212 without a remainder.

1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212

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 17212 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 17212 and 17215, than apply into the LCM equation.

GCF(17212,17215) = 1
LCM(17212,17215) = ( 17212 × 17215) / 1
LCM(17212,17215) = 296304580 / 1
LCM(17212,17215) = 296304580

Properties of LCM 17212 and 17215

(i) The LCM of 17215 and 17212 is associative

LCM of 17212 and 17215 = LCM of 17215 and 17212

Related Least Common Multiples of 17212

Related Least Common Multiples of 17215

Frequently Asked Questions on LCM of 17212 and 17215

1. What is the LCM of 17212 and 17215?

Answer: LCM of 17212 and 17215 is 296304580.

2. What are the Factors of 17212?

Answer: Factors of 17212 are 1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212. There are 12 integers that are factors of 17212. The greatest factor of 17212 is 17212.

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 17212 and 17215?

Answer:

Least Common Multiple of 17212 and 17215 = 296304580

Step 1: Find the prime factorization of 17212

17212 = 2 x 2 x 13 x 331

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 = 296304580 = 2 x 2 x 5 x 11 x 13 x 313 x 331

Step 4: Therefore, the least common multiple of 17212 and 17215 is 296304580.