Least Common Multiple of 6206 and 6213

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

• Least Common Multiple of 6206 and 6213 by Prime method
• Least Common Multiple of 6206 and 6213 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6206 and 6213. First we will calculate the prime factors of 6206 and 6213.

Prime Factorization of 6206

Prime factors of 6206 are 2, 29,107. Prime factorization of 6206 in exponential form is:

6206 = 2¹×29¹×107¹

Prime Factorization of 6213

Prime factors of 6213 are 3, 19,109. Prime factorization of 6213 in exponential form is:

6213 = 3¹×19¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6206 and 6213.

LCM(6206,6213) = 2¹×3¹×19¹×29¹×107¹×109¹
LCM(6206,6213) = 38557878

Factors of 6206

List of positive integer factors of 6206 that divides 6206 without a remainder.

1, 2, 29, 58, 107, 214, 3103, 6206

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1, 3, 19, 57, 109, 327, 2071, 6213

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6206 and 6213, than apply into the LCM equation.

GCF(6206,6213) = 1
LCM(6206,6213) = ( 6206 × 6213) / 1
LCM(6206,6213) = 38557878 / 1
LCM(6206,6213) = 38557878

(i) The LCM of 6213 and 6206 is associative

LCM of 6206 and 6213 = LCM of 6213 and 6206

1. What is the LCM of 6206 and 6213?

Answer: LCM of 6206 and 6213 is 38557878.

2. What are the Factors of 6206?

Answer: Factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206. There are 8 integers that are factors of 6206. The greatest factor of 6206 is 6206.

3. What are the Factors of 6213?

Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.

4. How to Find the LCM of 6206 and 6213?

Answer:

Least Common Multiple of 6206 and 6213 = 38557878

Step 1: Find the prime factorization of 6206

6206 = 2 x 29 x 107

Step 2: Find the prime factorization of 6213

6213 = 3 x 19 x 109

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

LCM = 38557878 = 2 x 3 x 19 x 29 x 107 x 109

Step 4: Therefore, the least common multiple of 6206 and 6213 is 38557878.