Least Common Multiple of 7295 and 7302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7295 and 7302 the smallest integer that is 53268090 that is divisible by both numbers.

Least Common Multiple (LCM) of 7295 and 7302 is 53268090.

LCM(7295,7302) = 53268090

LCM of 7295 and 7302

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

LCM of:
and

Least Common Multiple of 7295 and 7302

LCM of 7295 and 7302 is 53268090

Least common multiple can be found by multiplying the highest exponent prime factors of 7295 and 7302. First we will calculate the prime factors of 7295 and 7302.

Prime Factorization of 7295


5 7295
1459 1459
1

Prime factors of 7295 are 5,1459. Prime factorization of 7295 in exponential form is:

7295 = 51×14591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7295 and 7302.

LCM(7295,7302) = 21×31×51×12171×14591
LCM(7295,7302) = 53268090

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1, 5, 1459, 7295

Factors of 7302

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

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

Least Common Multiple of 7295 and 7302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7295 and 7302, than apply into the LCM equation.

GCF(7295,7302) = 1
LCM(7295,7302) = ( 7295 × 7302) / 1
LCM(7295,7302) = 53268090 / 1
LCM(7295,7302) = 53268090

Properties of LCM 7295 and 7302

(i) The LCM of 7302 and 7295 is associative

LCM of 7295 and 7302 = LCM of 7302 and 7295

Related Least Common Multiples of 7295

Related Least Common Multiples of 7302

Frequently Asked Questions on LCM of 7295 and 7302

1. What is the LCM of 7295 and 7302?

Answer: LCM of 7295 and 7302 is 53268090.

2. What are the Factors of 7295?

Answer: Factors of 7295 are 1, 5, 1459, 7295. There are 4 integers that are factors of 7295. The greatest factor of 7295 is 7295.

3. 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.

4. How to Find the LCM of 7295 and 7302?

Answer:

Least Common Multiple of 7295 and 7302 = 53268090

Step 1: Find the prime factorization of 7295

7295 = 5 x 1459

Step 2: Find the prime factorization of 7302

7302 = 2 x 3 x 1217

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

LCM = 53268090 = 2 x 3 x 5 x 1217 x 1459

Step 4: Therefore, the least common multiple of 7295 and 7302 is 53268090.