Least Common Multiple of 9291 and 9298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9291 and 9298 the smallest integer that is 86387718 that is divisible by both numbers.

Least Common Multiple (LCM) of 9291 and 9298 is 86387718.

LCM(9291,9298) = 86387718

LCM of 9291 and 9298

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

LCM of:
and

Least Common Multiple of 9291 and 9298

LCM of 9291 and 9298 is 86387718

Least common multiple can be found by multiplying the highest exponent prime factors of 9291 and 9298. First we will calculate the prime factors of 9291 and 9298.

Prime Factorization of 9291


3 9291
19 3097
163 163
1

Prime factors of 9291 are 3, 19,163. Prime factorization of 9291 in exponential form is:

9291 = 31×191×1631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9291 and 9298.

LCM(9291,9298) = 21×31×191×1631×46491
LCM(9291,9298) = 86387718

Factors of 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1, 3, 19, 57, 163, 489, 3097, 9291

Factors of 9298

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

1, 2, 4649, 9298

Least Common Multiple of 9291 and 9298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9291 and 9298, than apply into the LCM equation.

GCF(9291,9298) = 1
LCM(9291,9298) = ( 9291 × 9298) / 1
LCM(9291,9298) = 86387718 / 1
LCM(9291,9298) = 86387718

Properties of LCM 9291 and 9298

(i) The LCM of 9298 and 9291 is associative

LCM of 9291 and 9298 = LCM of 9298 and 9291

Related Least Common Multiples of 9291

Related Least Common Multiples of 9298

Frequently Asked Questions on LCM of 9291 and 9298

1. What is the LCM of 9291 and 9298?

Answer: LCM of 9291 and 9298 is 86387718.

2. What are the Factors of 9291?

Answer: Factors of 9291 are 1, 3, 19, 57, 163, 489, 3097, 9291. There are 8 integers that are factors of 9291. The greatest factor of 9291 is 9291.

3. 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.

4. How to Find the LCM of 9291 and 9298?

Answer:

Least Common Multiple of 9291 and 9298 = 86387718

Step 1: Find the prime factorization of 9291

9291 = 3 x 19 x 163

Step 2: Find the prime factorization of 9298

9298 = 2 x 4649

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

LCM = 86387718 = 2 x 3 x 19 x 163 x 4649

Step 4: Therefore, the least common multiple of 9291 and 9298 is 86387718.