Least Common Multiple of 9298 and 9305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9298 and 9305 the smallest integer that is 86517890 that is divisible by both numbers.

Least Common Multiple (LCM) of 9298 and 9305 is 86517890.

LCM(9298,9305) = 86517890

LCM of 9298 and 9305

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

LCM of:
and

Least Common Multiple of 9298 and 9305

LCM of 9298 and 9305 is 86517890

Least common multiple can be found by multiplying the highest exponent prime factors of 9298 and 9305. First we will calculate the prime factors of 9298 and 9305.

Prime Factorization of 9298


2 9298
4649 4649
1

Prime factors of 9298 are 2,4649. Prime factorization of 9298 in exponential form is:

9298 = 21×46491

Prime Factorization of 9305


5 9305
1861 1861
1

Prime factors of 9305 are 5,1861. Prime factorization of 9305 in exponential form is:

9305 = 51×18611

Now multiplying the highest exponent prime factors to calculate the LCM of 9298 and 9305.

LCM(9298,9305) = 21×51×18611×46491
LCM(9298,9305) = 86517890

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1, 2, 4649, 9298

Factors of 9305

List of positive integer factors of 9305 that divides 9305 without a remainder.

1, 5, 1861, 9305

Least Common Multiple of 9298 and 9305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9298 and 9305, than apply into the LCM equation.

GCF(9298,9305) = 1
LCM(9298,9305) = ( 9298 × 9305) / 1
LCM(9298,9305) = 86517890 / 1
LCM(9298,9305) = 86517890

Properties of LCM 9298 and 9305

(i) The LCM of 9305 and 9298 is associative

LCM of 9298 and 9305 = LCM of 9305 and 9298

Related Least Common Multiples of 9298

Related Least Common Multiples of 9305

Frequently Asked Questions on LCM of 9298 and 9305

1. What is the LCM of 9298 and 9305?

Answer: LCM of 9298 and 9305 is 86517890.

2. What are the Factors of 9298?

Answer: Factors of 9298 are 1, 2, 4649, 9298. There are 4 integers that are factors of 9298. The greatest factor of 9298 is 9298.

3. What are the Factors of 9305?

Answer: Factors of 9305 are 1, 5, 1861, 9305. There are 4 integers that are factors of 9305. The greatest factor of 9305 is 9305.

4. How to Find the LCM of 9298 and 9305?

Answer:

Least Common Multiple of 9298 and 9305 = 86517890

Step 1: Find the prime factorization of 9298

9298 = 2 x 4649

Step 2: Find the prime factorization of 9305

9305 = 5 x 1861

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

LCM = 86517890 = 2 x 5 x 1861 x 4649

Step 4: Therefore, the least common multiple of 9298 and 9305 is 86517890.