Least Common Multiple of 7298 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 7298 and 7302 the smallest integer that is 26644998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7298 and 7302 is 26644998.

LCM(7298,7302) = 26644998

LCM of 7298 and 7302

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

LCM of:
and

Least Common Multiple of 7298 and 7302

LCM of 7298 and 7302 is 26644998

Least common multiple can be found by multiplying the highest exponent prime factors of 7298 and 7302. First we will calculate the prime factors of 7298 and 7302.

Prime Factorization of 7298


2 7298
41 3649
89 89
1

Prime factors of 7298 are 2, 41,89. Prime factorization of 7298 in exponential form is:

7298 = 21×411×891

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 7298 and 7302.

LCM(7298,7302) = 21×31×411×891×12171
LCM(7298,7302) = 26644998

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1, 2, 41, 82, 89, 178, 3649, 7298

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 7298 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 7298 and 7302, than apply into the LCM equation.

GCF(7298,7302) = 2
LCM(7298,7302) = ( 7298 × 7302) / 2
LCM(7298,7302) = 53289996 / 2
LCM(7298,7302) = 26644998

Properties of LCM 7298 and 7302

(i) The LCM of 7302 and 7298 is associative

LCM of 7298 and 7302 = LCM of 7302 and 7298

Related Least Common Multiples of 7298

Related Least Common Multiples of 7302

Frequently Asked Questions on LCM of 7298 and 7302

1. What is the LCM of 7298 and 7302?

Answer: LCM of 7298 and 7302 is 26644998.

2. What are the Factors of 7298?

Answer: Factors of 7298 are 1, 2, 41, 82, 89, 178, 3649, 7298. There are 8 integers that are factors of 7298. The greatest factor of 7298 is 7298.

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 7298 and 7302?

Answer:

Least Common Multiple of 7298 and 7302 = 26644998

Step 1: Find the prime factorization of 7298

7298 = 2 x 41 x 89

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 = 26644998 = 2 x 3 x 41 x 89 x 1217

Step 4: Therefore, the least common multiple of 7298 and 7302 is 26644998.