Least Common Multiple of 7204 and 7209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7204 and 7209 the smallest integer that is 51933636 that is divisible by both numbers.

Least Common Multiple (LCM) of 7204 and 7209 is 51933636.

LCM(7204,7209) = 51933636

LCM of 7204 and 7209

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

LCM of:
and

Least Common Multiple of 7204 and 7209

LCM of 7204 and 7209 is 51933636

Least common multiple can be found by multiplying the highest exponent prime factors of 7204 and 7209. First we will calculate the prime factors of 7204 and 7209.

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7204 and 7209.

LCM(7204,7209) = 22×34×891×18011
LCM(7204,7209) = 51933636

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1, 2, 4, 1801, 3602, 7204

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

Least Common Multiple of 7204 and 7209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7204 and 7209, than apply into the LCM equation.

GCF(7204,7209) = 1
LCM(7204,7209) = ( 7204 × 7209) / 1
LCM(7204,7209) = 51933636 / 1
LCM(7204,7209) = 51933636

Properties of LCM 7204 and 7209

(i) The LCM of 7209 and 7204 is associative

LCM of 7204 and 7209 = LCM of 7209 and 7204

Related Least Common Multiples of 7204

Related Least Common Multiples of 7209

Frequently Asked Questions on LCM of 7204 and 7209

1. What is the LCM of 7204 and 7209?

Answer: LCM of 7204 and 7209 is 51933636.

2. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

3. 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.

4. How to Find the LCM of 7204 and 7209?

Answer:

Least Common Multiple of 7204 and 7209 = 51933636

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7209

7209 = 3 x 3 x 3 x 3 x 89

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

LCM = 51933636 = 2 x 2 x 3 x 3 x 3 x 3 x 89 x 1801

Step 4: Therefore, the least common multiple of 7204 and 7209 is 51933636.