Least Common Multiple of 6263 and 6270

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

• Least Common Multiple of 6263 and 6270 by Prime method
• Least Common Multiple of 6263 and 6270 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6263 and 6270. First we will calculate the prime factors of 6263 and 6270.

Prime Factorization of 6263

Prime factors of 6263 are 6263. Prime factorization of 6263 in exponential form is:

6263 = 6263¹

Prime Factorization of 6270

Prime factors of 6270 are 2, 3, 5, 11,19. Prime factorization of 6270 in exponential form is:

6270 = 2¹×3¹×5¹×11¹×19¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6263 and 6270.

LCM(6263,6270) = 2¹×3¹×5¹×11¹×19¹×6263¹
LCM(6263,6270) = 39269010

Factors of 6263

List of positive integer factors of 6263 that divides 6263 without a remainder.

1, 6263

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6263 and 6270, than apply into the LCM equation.

GCF(6263,6270) = 1
LCM(6263,6270) = ( 6263 × 6270) / 1
LCM(6263,6270) = 39269010 / 1
LCM(6263,6270) = 39269010

(i) The LCM of 6270 and 6263 is associative

LCM of 6263 and 6270 = LCM of 6270 and 6263

1. What is the LCM of 6263 and 6270?

Answer: LCM of 6263 and 6270 is 39269010.

2. What are the Factors of 6263?

Answer: Factors of 6263 are 1, 6263. There are 2 integers that are factors of 6263. The greatest factor of 6263 is 6263.

3. What are the Factors of 6270?

Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.

4. How to Find the LCM of 6263 and 6270?

Answer:

Least Common Multiple of 6263 and 6270 = 39269010

Step 1: Find the prime factorization of 6263

6263 = 6263

Step 2: Find the prime factorization of 6270

6270 = 2 x 3 x 5 x 11 x 19

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

LCM = 39269010 = 2 x 3 x 5 x 11 x 19 x 6263

Step 4: Therefore, the least common multiple of 6263 and 6270 is 39269010.