Least Common Multiple of 6290 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 6290 and 6298 the smallest integer that is 19807210 that is divisible by both numbers.

Least Common Multiple (LCM) of 6290 and 6298 is 19807210.

LCM(6290,6298) = 19807210

LCM of 6290 and 6298

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

LCM of:
and

Least Common Multiple of 6290 and 6298

LCM of 6290 and 6298 is 19807210

Least common multiple can be found by multiplying the highest exponent prime factors of 6290 and 6298. First we will calculate the prime factors of 6290 and 6298.

Prime Factorization of 6290


2 6290
5 3145
17 629
37 37
1

Prime factors of 6290 are 2, 5, 17,37. Prime factorization of 6290 in exponential form is:

6290 = 21×51×171×371

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 6290 and 6298.

LCM(6290,6298) = 21×51×171×371×471×671
LCM(6290,6298) = 19807210

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290

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 6290 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 6290 and 6298, than apply into the LCM equation.

GCF(6290,6298) = 2
LCM(6290,6298) = ( 6290 × 6298) / 2
LCM(6290,6298) = 39614420 / 2
LCM(6290,6298) = 19807210

Properties of LCM 6290 and 6298

(i) The LCM of 6298 and 6290 is associative

LCM of 6290 and 6298 = LCM of 6298 and 6290

Related Least Common Multiples of 6290

Related Least Common Multiples of 6298

Frequently Asked Questions on LCM of 6290 and 6298

1. What is the LCM of 6290 and 6298?

Answer: LCM of 6290 and 6298 is 19807210.

2. What are the Factors of 6290?

Answer: Factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290. There are 16 integers that are factors of 6290. The greatest factor of 6290 is 6290.

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 6290 and 6298?

Answer:

Least Common Multiple of 6290 and 6298 = 19807210

Step 1: Find the prime factorization of 6290

6290 = 2 x 5 x 17 x 37

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 = 19807210 = 2 x 5 x 17 x 37 x 47 x 67

Step 4: Therefore, the least common multiple of 6290 and 6298 is 19807210.