Least Common Multiple of 7298 and 7305

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 7305 the smallest integer that is 53311890 that is divisible by both numbers.

Least Common Multiple (LCM) of 7298 and 7305 is 53311890.

LCM(7298,7305) = 53311890

LCM of 7298 and 7305

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

LCM of:
and

Least Common Multiple of 7298 and 7305

LCM of 7298 and 7305 is 53311890

Least common multiple can be found by multiplying the highest exponent prime factors of 7298 and 7305. First we will calculate the prime factors of 7298 and 7305.

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 7305


3 7305
5 2435
487 487
1

Prime factors of 7305 are 3, 5,487. Prime factorization of 7305 in exponential form is:

7305 = 31×51×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 7298 and 7305.

LCM(7298,7305) = 21×31×51×411×891×4871
LCM(7298,7305) = 53311890

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 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1, 3, 5, 15, 487, 1461, 2435, 7305

Least Common Multiple of 7298 and 7305 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 7305, than apply into the LCM equation.

GCF(7298,7305) = 1
LCM(7298,7305) = ( 7298 × 7305) / 1
LCM(7298,7305) = 53311890 / 1
LCM(7298,7305) = 53311890

Properties of LCM 7298 and 7305

(i) The LCM of 7305 and 7298 is associative

LCM of 7298 and 7305 = LCM of 7305 and 7298

Related Least Common Multiples of 7298

Related Least Common Multiples of 7305

Frequently Asked Questions on LCM of 7298 and 7305

1. What is the LCM of 7298 and 7305?

Answer: LCM of 7298 and 7305 is 53311890.

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 7305?

Answer: Factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305. There are 8 integers that are factors of 7305. The greatest factor of 7305 is 7305.

4. How to Find the LCM of 7298 and 7305?

Answer:

Least Common Multiple of 7298 and 7305 = 53311890

Step 1: Find the prime factorization of 7298

7298 = 2 x 41 x 89

Step 2: Find the prime factorization of 7305

7305 = 3 x 5 x 487

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

LCM = 53311890 = 2 x 3 x 5 x 41 x 89 x 487

Step 4: Therefore, the least common multiple of 7298 and 7305 is 53311890.