Least Common Multiple of 8291 and 8298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8291 and 8298 the smallest integer that is 68798718 that is divisible by both numbers.

Least Common Multiple (LCM) of 8291 and 8298 is 68798718.

LCM(8291,8298) = 68798718

LCM of 8291 and 8298

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

LCM of:
and

Least Common Multiple of 8291 and 8298

LCM of 8291 and 8298 is 68798718

Least common multiple can be found by multiplying the highest exponent prime factors of 8291 and 8298. First we will calculate the prime factors of 8291 and 8298.

Prime Factorization of 8291


8291 8291
1

Prime factors of 8291 are 8291. Prime factorization of 8291 in exponential form is:

8291 = 82911

Prime Factorization of 8298


2 8298
3 4149
3 1383
461 461
1

Prime factors of 8298 are 2, 3,461. Prime factorization of 8298 in exponential form is:

8298 = 21×32×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 8291 and 8298.

LCM(8291,8298) = 21×32×4611×82911
LCM(8291,8298) = 68798718

Factors of 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1, 8291

Factors of 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298

Least Common Multiple of 8291 and 8298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8291 and 8298, than apply into the LCM equation.

GCF(8291,8298) = 1
LCM(8291,8298) = ( 8291 × 8298) / 1
LCM(8291,8298) = 68798718 / 1
LCM(8291,8298) = 68798718

Properties of LCM 8291 and 8298

(i) The LCM of 8298 and 8291 is associative

LCM of 8291 and 8298 = LCM of 8298 and 8291

Related Least Common Multiples of 8291

Related Least Common Multiples of 8298

Frequently Asked Questions on LCM of 8291 and 8298

1. What is the LCM of 8291 and 8298?

Answer: LCM of 8291 and 8298 is 68798718.

2. What are the Factors of 8291?

Answer: Factors of 8291 are 1, 8291. There are 2 integers that are factors of 8291. The greatest factor of 8291 is 8291.

3. What are the Factors of 8298?

Answer: Factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298. There are 12 integers that are factors of 8298. The greatest factor of 8298 is 8298.

4. How to Find the LCM of 8291 and 8298?

Answer:

Least Common Multiple of 8291 and 8298 = 68798718

Step 1: Find the prime factorization of 8291

8291 = 8291

Step 2: Find the prime factorization of 8298

8298 = 2 x 3 x 3 x 461

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

LCM = 68798718 = 2 x 3 x 3 x 461 x 8291

Step 4: Therefore, the least common multiple of 8291 and 8298 is 68798718.