Least Common Multiple of 6283 and 6290

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

• Least Common Multiple of 6283 and 6290 by Prime method
• Least Common Multiple of 6283 and 6290 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6283 and 6290. First we will calculate the prime factors of 6283 and 6290.

Prime Factorization of 6283

Prime factors of 6283 are 61,103. Prime factorization of 6283 in exponential form is:

6283 = 61¹×103¹

Prime Factorization of 6290

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

6290 = 2¹×5¹×17¹×37¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6283 and 6290.

LCM(6283,6290) = 2¹×5¹×17¹×37¹×61¹×103¹
LCM(6283,6290) = 39520070

Factors of 6283

List of positive integer factors of 6283 that divides 6283 without a remainder.

1, 61, 103, 6283

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6283 and 6290, than apply into the LCM equation.

GCF(6283,6290) = 1
LCM(6283,6290) = ( 6283 × 6290) / 1
LCM(6283,6290) = 39520070 / 1
LCM(6283,6290) = 39520070

(i) The LCM of 6290 and 6283 is associative

LCM of 6283 and 6290 = LCM of 6290 and 6283

1. What is the LCM of 6283 and 6290?

Answer: LCM of 6283 and 6290 is 39520070.

2. What are the Factors of 6283?

Answer: Factors of 6283 are 1, 61, 103, 6283. There are 4 integers that are factors of 6283. The greatest factor of 6283 is 6283.

3. 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.

4. How to Find the LCM of 6283 and 6290?

Answer:

Least Common Multiple of 6283 and 6290 = 39520070

Step 1: Find the prime factorization of 6283

6283 = 61 x 103

Step 2: Find the prime factorization of 6290

6290 = 2 x 5 x 17 x 37

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

LCM = 39520070 = 2 x 5 x 17 x 37 x 61 x 103

Step 4: Therefore, the least common multiple of 6283 and 6290 is 39520070.