Least Common Multiple of 6291 and 6298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6291 and 6298 the smallest integer that is 39620718 that is divisible by both numbers.

Least Common Multiple (LCM) of 6291 and 6298 is 39620718.

LCM(6291,6298) = 39620718

LCM of 6291 and 6298

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

LCM of:
and

Least Common Multiple of 6291 and 6298

LCM of 6291 and 6298 is 39620718

Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6298. First we will calculate the prime factors of 6291 and 6298.

Prime Factorization of 6291


3 6291
3 2097
3 699
233 233
1

Prime factors of 6291 are 3,233. Prime factorization of 6291 in exponential form is:

6291 = 33×2331

Prime Factorization of 6298


2 6298
47 3149
67 67
1

Prime factors of 6298 are 2, 47,67. Prime factorization of 6298 in exponential form is:

6298 = 21×471×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6298.

LCM(6291,6298) = 21×33×471×671×2331
LCM(6291,6298) = 39620718

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1, 3, 9, 27, 233, 699, 2097, 6291

Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1, 2, 47, 67, 94, 134, 3149, 6298

Least Common Multiple of 6291 and 6298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6298, than apply into the LCM equation.

GCF(6291,6298) = 1
LCM(6291,6298) = ( 6291 × 6298) / 1
LCM(6291,6298) = 39620718 / 1
LCM(6291,6298) = 39620718

Properties of LCM 6291 and 6298

(i) The LCM of 6298 and 6291 is associative

LCM of 6291 and 6298 = LCM of 6298 and 6291

Related Least Common Multiples of 6291

Related Least Common Multiples of 6298

Frequently Asked Questions on LCM of 6291 and 6298

1. What is the LCM of 6291 and 6298?

Answer: LCM of 6291 and 6298 is 39620718.

2. What are the Factors of 6291?

Answer: Factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291. There are 8 integers that are factors of 6291. The greatest factor of 6291 is 6291.

3. What are the Factors of 6298?

Answer: Factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298. There are 8 integers that are factors of 6298. The greatest factor of 6298 is 6298.

4. How to Find the LCM of 6291 and 6298?

Answer:

Least Common Multiple of 6291 and 6298 = 39620718

Step 1: Find the prime factorization of 6291

6291 = 3 x 3 x 3 x 233

Step 2: Find the prime factorization of 6298

6298 = 2 x 47 x 67

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

LCM = 39620718 = 2 x 3 x 3 x 3 x 47 x 67 x 233

Step 4: Therefore, the least common multiple of 6291 and 6298 is 39620718.