Least Common Multiple of 7298 and 7306

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 7306 the smallest integer that is 26659594 that is divisible by both numbers.

Least Common Multiple (LCM) of 7298 and 7306 is 26659594.

LCM(7298,7306) = 26659594

LCM of 7298 and 7306

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

LCM of:
and

Least Common Multiple of 7298 and 7306

LCM of 7298 and 7306 is 26659594

Least common multiple can be found by multiplying the highest exponent prime factors of 7298 and 7306. First we will calculate the prime factors of 7298 and 7306.

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 7306


2 7306
13 3653
281 281
1

Prime factors of 7306 are 2, 13,281. Prime factorization of 7306 in exponential form is:

7306 = 21×131×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 7298 and 7306.

LCM(7298,7306) = 21×131×411×891×2811
LCM(7298,7306) = 26659594

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 7306

List of positive integer factors of 7306 that divides 7306 without a remainder.

1, 2, 13, 26, 281, 562, 3653, 7306

Least Common Multiple of 7298 and 7306 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 7306, than apply into the LCM equation.

GCF(7298,7306) = 2
LCM(7298,7306) = ( 7298 × 7306) / 2
LCM(7298,7306) = 53319188 / 2
LCM(7298,7306) = 26659594

Properties of LCM 7298 and 7306

(i) The LCM of 7306 and 7298 is associative

LCM of 7298 and 7306 = LCM of 7306 and 7298

Related Least Common Multiples of 7298

Related Least Common Multiples of 7306

Frequently Asked Questions on LCM of 7298 and 7306

1. What is the LCM of 7298 and 7306?

Answer: LCM of 7298 and 7306 is 26659594.

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 7306?

Answer: Factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306. There are 8 integers that are factors of 7306. The greatest factor of 7306 is 7306.

4. How to Find the LCM of 7298 and 7306?

Answer:

Least Common Multiple of 7298 and 7306 = 26659594

Step 1: Find the prime factorization of 7298

7298 = 2 x 41 x 89

Step 2: Find the prime factorization of 7306

7306 = 2 x 13 x 281

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

LCM = 26659594 = 2 x 13 x 41 x 89 x 281

Step 4: Therefore, the least common multiple of 7298 and 7306 is 26659594.