Least Common Multiple of 17212 and 17216

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 17216 the smallest integer that is 74080448 that is divisible by both numbers.

Least Common Multiple (LCM) of 17212 and 17216 is 74080448.

LCM(17212,17216) = 74080448

LCM of 17212 and 17216

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

LCM of:
and

Least Common Multiple of 17212 and 17216

LCM of 17212 and 17216 is 74080448

Least common multiple can be found by multiplying the highest exponent prime factors of 17212 and 17216. First we will calculate the prime factors of 17212 and 17216.

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 17216


2 17216
2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 17216 are 2,269. Prime factorization of 17216 in exponential form is:

17216 = 26×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 17212 and 17216.

LCM(17212,17216) = 26×131×2691×3311
LCM(17212,17216) = 74080448

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 17216

List of positive integer factors of 17216 that divides 17216 without a remainder.

1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608, 17216

Least Common Multiple of 17212 and 17216 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 17216, than apply into the LCM equation.

GCF(17212,17216) = 4
LCM(17212,17216) = ( 17212 × 17216) / 4
LCM(17212,17216) = 296321792 / 4
LCM(17212,17216) = 74080448

Properties of LCM 17212 and 17216

(i) The LCM of 17216 and 17212 is associative

LCM of 17212 and 17216 = LCM of 17216 and 17212

Related Least Common Multiples of 17212

Related Least Common Multiples of 17216

Frequently Asked Questions on LCM of 17212 and 17216

1. What is the LCM of 17212 and 17216?

Answer: LCM of 17212 and 17216 is 74080448.

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 17216?

Answer: Factors of 17216 are 1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608, 17216. There are 14 integers that are factors of 17216. The greatest factor of 17216 is 17216.

4. How to Find the LCM of 17212 and 17216?

Answer:

Least Common Multiple of 17212 and 17216 = 74080448

Step 1: Find the prime factorization of 17212

17212 = 2 x 2 x 13 x 331

Step 2: Find the prime factorization of 17216

17216 = 2 x 2 x 2 x 2 x 2 x 2 x 269

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

LCM = 74080448 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 269 x 331

Step 4: Therefore, the least common multiple of 17212 and 17216 is 74080448.