Least Common Multiple of 7205 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 7205 and 7209 the smallest integer that is 51940845 that is divisible by both numbers.

Least Common Multiple (LCM) of 7205 and 7209 is 51940845.

LCM(7205,7209) = 51940845

LCM of 7205 and 7209

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

LCM of:
and

Least Common Multiple of 7205 and 7209

LCM of 7205 and 7209 is 51940845

Least common multiple can be found by multiplying the highest exponent prime factors of 7205 and 7209. First we will calculate the prime factors of 7205 and 7209.

Prime Factorization of 7205


5 7205
11 1441
131 131
1

Prime factors of 7205 are 5, 11,131. Prime factorization of 7205 in exponential form is:

7205 = 51×111×1311

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 7205 and 7209.

LCM(7205,7209) = 34×51×111×891×1311
LCM(7205,7209) = 51940845

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1, 5, 11, 55, 131, 655, 1441, 7205

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 7205 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 7205 and 7209, than apply into the LCM equation.

GCF(7205,7209) = 1
LCM(7205,7209) = ( 7205 × 7209) / 1
LCM(7205,7209) = 51940845 / 1
LCM(7205,7209) = 51940845

Properties of LCM 7205 and 7209

(i) The LCM of 7209 and 7205 is associative

LCM of 7205 and 7209 = LCM of 7209 and 7205

Related Least Common Multiples of 7205

Related Least Common Multiples of 7209

Frequently Asked Questions on LCM of 7205 and 7209

1. What is the LCM of 7205 and 7209?

Answer: LCM of 7205 and 7209 is 51940845.

2. What are the Factors of 7205?

Answer: Factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205. There are 8 integers that are factors of 7205. The greatest factor of 7205 is 7205.

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 7205 and 7209?

Answer:

Least Common Multiple of 7205 and 7209 = 51940845

Step 1: Find the prime factorization of 7205

7205 = 5 x 11 x 131

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 = 51940845 = 3 x 3 x 3 x 3 x 5 x 11 x 89 x 131

Step 4: Therefore, the least common multiple of 7205 and 7209 is 51940845.