Least Common Multiple of 6292 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 6292 and 6298 the smallest integer that is 19813508 that is divisible by both numbers.

Least Common Multiple (LCM) of 6292 and 6298 is 19813508.

LCM(6292,6298) = 19813508

LCM of 6292 and 6298

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

LCM of:
and

Least Common Multiple of 6292 and 6298

LCM of 6292 and 6298 is 19813508

Least common multiple can be found by multiplying the highest exponent prime factors of 6292 and 6298. First we will calculate the prime factors of 6292 and 6298.

Prime Factorization of 6292


2 6292
2 3146
11 1573
11 143
13 13
1

Prime factors of 6292 are 2, 11,13. Prime factorization of 6292 in exponential form is:

6292 = 22×112×131

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 6292 and 6298.

LCM(6292,6298) = 22×112×131×471×671
LCM(6292,6298) = 19813508

Factors of 6292

List of positive integer factors of 6292 that divides 6292 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292

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 6292 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 6292 and 6298, than apply into the LCM equation.

GCF(6292,6298) = 2
LCM(6292,6298) = ( 6292 × 6298) / 2
LCM(6292,6298) = 39627016 / 2
LCM(6292,6298) = 19813508

Properties of LCM 6292 and 6298

(i) The LCM of 6298 and 6292 is associative

LCM of 6292 and 6298 = LCM of 6298 and 6292

Related Least Common Multiples of 6292

Related Least Common Multiples of 6298

Frequently Asked Questions on LCM of 6292 and 6298

1. What is the LCM of 6292 and 6298?

Answer: LCM of 6292 and 6298 is 19813508.

2. What are the Factors of 6292?

Answer: Factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292. There are 18 integers that are factors of 6292. The greatest factor of 6292 is 6292.

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 6292 and 6298?

Answer:

Least Common Multiple of 6292 and 6298 = 19813508

Step 1: Find the prime factorization of 6292

6292 = 2 x 2 x 11 x 11 x 13

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 = 19813508 = 2 x 2 x 11 x 11 x 13 x 47 x 67

Step 4: Therefore, the least common multiple of 6292 and 6298 is 19813508.