Least Common Multiple of 7202 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 7202 and 7209 the smallest integer that is 51919218 that is divisible by both numbers.

Least Common Multiple (LCM) of 7202 and 7209 is 51919218.

LCM(7202,7209) = 51919218

LCM of 7202 and 7209

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

LCM of:
and

Least Common Multiple of 7202 and 7209

LCM of 7202 and 7209 is 51919218

Least common multiple can be found by multiplying the highest exponent prime factors of 7202 and 7209. First we will calculate the prime factors of 7202 and 7209.

Prime Factorization of 7202


2 7202
13 3601
277 277
1

Prime factors of 7202 are 2, 13,277. Prime factorization of 7202 in exponential form is:

7202 = 21×131×2771

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 7202 and 7209.

LCM(7202,7209) = 21×34×131×891×2771
LCM(7202,7209) = 51919218

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1, 2, 13, 26, 277, 554, 3601, 7202

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 7202 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 7202 and 7209, than apply into the LCM equation.

GCF(7202,7209) = 1
LCM(7202,7209) = ( 7202 × 7209) / 1
LCM(7202,7209) = 51919218 / 1
LCM(7202,7209) = 51919218

Properties of LCM 7202 and 7209

(i) The LCM of 7209 and 7202 is associative

LCM of 7202 and 7209 = LCM of 7209 and 7202

Related Least Common Multiples of 7202

Related Least Common Multiples of 7209

Frequently Asked Questions on LCM of 7202 and 7209

1. What is the LCM of 7202 and 7209?

Answer: LCM of 7202 and 7209 is 51919218.

2. What are the Factors of 7202?

Answer: Factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202. There are 8 integers that are factors of 7202. The greatest factor of 7202 is 7202.

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 7202 and 7209?

Answer:

Least Common Multiple of 7202 and 7209 = 51919218

Step 1: Find the prime factorization of 7202

7202 = 2 x 13 x 277

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 = 51919218 = 2 x 3 x 3 x 3 x 3 x 13 x 89 x 277

Step 4: Therefore, the least common multiple of 7202 and 7209 is 51919218.