Least Common Multiple of 17207 and 17212

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 17212 the smallest integer that is 296166884 that is divisible by both numbers.

Least Common Multiple (LCM) of 17207 and 17212 is 296166884.

LCM(17207,17212) = 296166884

LCM of 17207 and 17212

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

LCM of:
and

Least Common Multiple of 17207 and 17212

LCM of 17207 and 17212 is 296166884

Least common multiple can be found by multiplying the highest exponent prime factors of 17207 and 17212. First we will calculate the prime factors of 17207 and 17212.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 17207 and 17212.

LCM(17207,17212) = 22×131×3311×172071
LCM(17207,17212) = 296166884

Factors of 17207

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

1, 17207

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

Least Common Multiple of 17207 and 17212 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 17212, than apply into the LCM equation.

GCF(17207,17212) = 1
LCM(17207,17212) = ( 17207 × 17212) / 1
LCM(17207,17212) = 296166884 / 1
LCM(17207,17212) = 296166884

Properties of LCM 17207 and 17212

(i) The LCM of 17212 and 17207 is associative

LCM of 17207 and 17212 = LCM of 17212 and 17207

Related Least Common Multiples of 17207

Related Least Common Multiples of 17212

Frequently Asked Questions on LCM of 17207 and 17212

1. What is the LCM of 17207 and 17212?

Answer: LCM of 17207 and 17212 is 296166884.

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 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.

4. How to Find the LCM of 17207 and 17212?

Answer:

Least Common Multiple of 17207 and 17212 = 296166884

Step 1: Find the prime factorization of 17207

17207 = 17207

Step 2: Find the prime factorization of 17212

17212 = 2 x 2 x 13 x 331

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

LCM = 296166884 = 2 x 2 x 13 x 331 x 17207

Step 4: Therefore, the least common multiple of 17207 and 17212 is 296166884.