Least Common Multiple of 6290 and 6294

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 6294 the smallest integer that is 19794630 that is divisible by both numbers.

Least Common Multiple (LCM) of 6290 and 6294 is 19794630.

LCM(6290,6294) = 19794630

LCM of 6290 and 6294

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

LCM of:
and

Least Common Multiple of 6290 and 6294

LCM of 6290 and 6294 is 19794630

Least common multiple can be found by multiplying the highest exponent prime factors of 6290 and 6294. First we will calculate the prime factors of 6290 and 6294.

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 6294


2 6294
3 3147
1049 1049
1

Prime factors of 6294 are 2, 3,1049. Prime factorization of 6294 in exponential form is:

6294 = 21×31×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 6290 and 6294.

LCM(6290,6294) = 21×31×51×171×371×10491
LCM(6290,6294) = 19794630

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 6294

List of positive integer factors of 6294 that divides 6294 without a remainder.

1, 2, 3, 6, 1049, 2098, 3147, 6294

Least Common Multiple of 6290 and 6294 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 6294, than apply into the LCM equation.

GCF(6290,6294) = 2
LCM(6290,6294) = ( 6290 × 6294) / 2
LCM(6290,6294) = 39589260 / 2
LCM(6290,6294) = 19794630

Properties of LCM 6290 and 6294

(i) The LCM of 6294 and 6290 is associative

LCM of 6290 and 6294 = LCM of 6294 and 6290

Related Least Common Multiples of 6290

Related Least Common Multiples of 6294

Frequently Asked Questions on LCM of 6290 and 6294

1. What is the LCM of 6290 and 6294?

Answer: LCM of 6290 and 6294 is 19794630.

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 6294?

Answer: Factors of 6294 are 1, 2, 3, 6, 1049, 2098, 3147, 6294. There are 8 integers that are factors of 6294. The greatest factor of 6294 is 6294.

4. How to Find the LCM of 6290 and 6294?

Answer:

Least Common Multiple of 6290 and 6294 = 19794630

Step 1: Find the prime factorization of 6290

6290 = 2 x 5 x 17 x 37

Step 2: Find the prime factorization of 6294

6294 = 2 x 3 x 1049

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

LCM = 19794630 = 2 x 3 x 5 x 17 x 37 x 1049

Step 4: Therefore, the least common multiple of 6290 and 6294 is 19794630.