Least Common Multiple of 7209 and 7217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7209 and 7217 the smallest integer that is 52027353 that is divisible by both numbers.

Least Common Multiple (LCM) of 7209 and 7217 is 52027353.

LCM(7209,7217) = 52027353

LCM of 7209 and 7217

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

LCM of:
and

Least Common Multiple of 7209 and 7217

LCM of 7209 and 7217 is 52027353

Least common multiple can be found by multiplying the highest exponent prime factors of 7209 and 7217. First we will calculate the prime factors of 7209 and 7217.

Prime Factorization of 7209


3 7209
3 2403
3 801
3 267
89 89
1

Prime factors of 7209 are 3,89. Prime factorization of 7209 in exponential form is:

7209 = 34×891

Prime Factorization of 7217


7 7217
1031 1031
1

Prime factors of 7217 are 7,1031. Prime factorization of 7217 in exponential form is:

7217 = 71×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 7209 and 7217.

LCM(7209,7217) = 34×71×891×10311
LCM(7209,7217) = 52027353

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209

Factors of 7217

List of positive integer factors of 7217 that divides 7217 without a remainder.

1, 7, 1031, 7217

Least Common Multiple of 7209 and 7217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7209 and 7217, than apply into the LCM equation.

GCF(7209,7217) = 1
LCM(7209,7217) = ( 7209 × 7217) / 1
LCM(7209,7217) = 52027353 / 1
LCM(7209,7217) = 52027353

Properties of LCM 7209 and 7217

(i) The LCM of 7217 and 7209 is associative

LCM of 7209 and 7217 = LCM of 7217 and 7209

Related Least Common Multiples of 7209

Related Least Common Multiples of 7217

Frequently Asked Questions on LCM of 7209 and 7217

1. What is the LCM of 7209 and 7217?

Answer: LCM of 7209 and 7217 is 52027353.

2. What are the Factors of 7209?

Answer: Factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209. There are 10 integers that are factors of 7209. The greatest factor of 7209 is 7209.

3. What are the Factors of 7217?

Answer: Factors of 7217 are 1, 7, 1031, 7217. There are 4 integers that are factors of 7217. The greatest factor of 7217 is 7217.

4. How to Find the LCM of 7209 and 7217?

Answer:

Least Common Multiple of 7209 and 7217 = 52027353

Step 1: Find the prime factorization of 7209

7209 = 3 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 7217

7217 = 7 x 1031

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

LCM = 52027353 = 3 x 3 x 3 x 3 x 7 x 89 x 1031

Step 4: Therefore, the least common multiple of 7209 and 7217 is 52027353.