Least Common Multiple of 9209 and 9217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9209 and 9217 the smallest integer that is 84879353 that is divisible by both numbers.

Least Common Multiple (LCM) of 9209 and 9217 is 84879353.

LCM(9209,9217) = 84879353

LCM of 9209 and 9217

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

LCM of:
and

Least Common Multiple of 9209 and 9217

LCM of 9209 and 9217 is 84879353

Least common multiple can be found by multiplying the highest exponent prime factors of 9209 and 9217. First we will calculate the prime factors of 9209 and 9217.

Prime Factorization of 9209


9209 9209
1

Prime factors of 9209 are 9209. Prime factorization of 9209 in exponential form is:

9209 = 92091

Prime Factorization of 9217


13 9217
709 709
1

Prime factors of 9217 are 13,709. Prime factorization of 9217 in exponential form is:

9217 = 131×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 9209 and 9217.

LCM(9209,9217) = 131×7091×92091
LCM(9209,9217) = 84879353

Factors of 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1, 9209

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1, 13, 709, 9217

Least Common Multiple of 9209 and 9217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9209 and 9217, than apply into the LCM equation.

GCF(9209,9217) = 1
LCM(9209,9217) = ( 9209 × 9217) / 1
LCM(9209,9217) = 84879353 / 1
LCM(9209,9217) = 84879353

Properties of LCM 9209 and 9217

(i) The LCM of 9217 and 9209 is associative

LCM of 9209 and 9217 = LCM of 9217 and 9209

Related Least Common Multiples of 9209

Related Least Common Multiples of 9217

Frequently Asked Questions on LCM of 9209 and 9217

1. What is the LCM of 9209 and 9217?

Answer: LCM of 9209 and 9217 is 84879353.

2. What are the Factors of 9209?

Answer: Factors of 9209 are 1, 9209. There are 2 integers that are factors of 9209. The greatest factor of 9209 is 9209.

3. What are the Factors of 9217?

Answer: Factors of 9217 are 1, 13, 709, 9217. There are 4 integers that are factors of 9217. The greatest factor of 9217 is 9217.

4. How to Find the LCM of 9209 and 9217?

Answer:

Least Common Multiple of 9209 and 9217 = 84879353

Step 1: Find the prime factorization of 9209

9209 = 9209

Step 2: Find the prime factorization of 9217

9217 = 13 x 709

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

LCM = 84879353 = 13 x 709 x 9209

Step 4: Therefore, the least common multiple of 9209 and 9217 is 84879353.