Least Common Multiple of 7302 and 7309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7302 and 7309 the smallest integer that is 53370318 that is divisible by both numbers.

Least Common Multiple (LCM) of 7302 and 7309 is 53370318.

LCM(7302,7309) = 53370318

LCM of 7302 and 7309

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

LCM of:
and

Least Common Multiple of 7302 and 7309

LCM of 7302 and 7309 is 53370318

Least common multiple can be found by multiplying the highest exponent prime factors of 7302 and 7309. First we will calculate the prime factors of 7302 and 7309.

Prime Factorization of 7302


2 7302
3 3651
1217 1217
1

Prime factors of 7302 are 2, 3,1217. Prime factorization of 7302 in exponential form is:

7302 = 21×31×12171

Prime Factorization of 7309


7309 7309
1

Prime factors of 7309 are 7309. Prime factorization of 7309 in exponential form is:

7309 = 73091

Now multiplying the highest exponent prime factors to calculate the LCM of 7302 and 7309.

LCM(7302,7309) = 21×31×12171×73091
LCM(7302,7309) = 53370318

Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1, 2, 3, 6, 1217, 2434, 3651, 7302

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1, 7309

Least Common Multiple of 7302 and 7309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7302 and 7309, than apply into the LCM equation.

GCF(7302,7309) = 1
LCM(7302,7309) = ( 7302 × 7309) / 1
LCM(7302,7309) = 53370318 / 1
LCM(7302,7309) = 53370318

Properties of LCM 7302 and 7309

(i) The LCM of 7309 and 7302 is associative

LCM of 7302 and 7309 = LCM of 7309 and 7302

Related Least Common Multiples of 7302

Related Least Common Multiples of 7309

Frequently Asked Questions on LCM of 7302 and 7309

1. What is the LCM of 7302 and 7309?

Answer: LCM of 7302 and 7309 is 53370318.

2. What are the Factors of 7302?

Answer: Factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302. There are 8 integers that are factors of 7302. The greatest factor of 7302 is 7302.

3. What are the Factors of 7309?

Answer: Factors of 7309 are 1, 7309. There are 2 integers that are factors of 7309. The greatest factor of 7309 is 7309.

4. How to Find the LCM of 7302 and 7309?

Answer:

Least Common Multiple of 7302 and 7309 = 53370318

Step 1: Find the prime factorization of 7302

7302 = 2 x 3 x 1217

Step 2: Find the prime factorization of 7309

7309 = 7309

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

LCM = 53370318 = 2 x 3 x 1217 x 7309

Step 4: Therefore, the least common multiple of 7302 and 7309 is 53370318.