Least Common Multiple of 6290 and 6296

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 6296 the smallest integer that is 19800920 that is divisible by both numbers.

Least Common Multiple (LCM) of 6290 and 6296 is 19800920.

LCM(6290,6296) = 19800920

LCM of 6290 and 6296

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

LCM of:
and

Least Common Multiple of 6290 and 6296

LCM of 6290 and 6296 is 19800920

Least common multiple can be found by multiplying the highest exponent prime factors of 6290 and 6296. First we will calculate the prime factors of 6290 and 6296.

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 6296


2 6296
2 3148
2 1574
787 787
1

Prime factors of 6296 are 2,787. Prime factorization of 6296 in exponential form is:

6296 = 23×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 6290 and 6296.

LCM(6290,6296) = 23×51×171×371×7871
LCM(6290,6296) = 19800920

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 6296

List of positive integer factors of 6296 that divides 6296 without a remainder.

1, 2, 4, 8, 787, 1574, 3148, 6296

Least Common Multiple of 6290 and 6296 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 6296, than apply into the LCM equation.

GCF(6290,6296) = 2
LCM(6290,6296) = ( 6290 × 6296) / 2
LCM(6290,6296) = 39601840 / 2
LCM(6290,6296) = 19800920

Properties of LCM 6290 and 6296

(i) The LCM of 6296 and 6290 is associative

LCM of 6290 and 6296 = LCM of 6296 and 6290

Related Least Common Multiples of 6290

Related Least Common Multiples of 6296

Frequently Asked Questions on LCM of 6290 and 6296

1. What is the LCM of 6290 and 6296?

Answer: LCM of 6290 and 6296 is 19800920.

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 6296?

Answer: Factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296. There are 8 integers that are factors of 6296. The greatest factor of 6296 is 6296.

4. How to Find the LCM of 6290 and 6296?

Answer:

Least Common Multiple of 6290 and 6296 = 19800920

Step 1: Find the prime factorization of 6290

6290 = 2 x 5 x 17 x 37

Step 2: Find the prime factorization of 6296

6296 = 2 x 2 x 2 x 787

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

LCM = 19800920 = 2 x 2 x 2 x 5 x 17 x 37 x 787

Step 4: Therefore, the least common multiple of 6290 and 6296 is 19800920.