Least Common Multiple of 6461 and 6466

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

• Least Common Multiple of 6461 and 6466 by Prime method
• Least Common Multiple of 6461 and 6466 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 6461 and 6466. First we will calculate the prime factors of 6461 and 6466.

Prime Factorization of 6461

Prime factors of 6461 are 7, 13,71. Prime factorization of 6461 in exponential form is:

6461 = 7¹×13¹×71¹

Prime Factorization of 6466

Prime factors of 6466 are 2, 53,61. Prime factorization of 6466 in exponential form is:

6466 = 2¹×53¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 6461 and 6466.

LCM(6461,6466) = 2¹×7¹×13¹×53¹×61¹×71¹
LCM(6461,6466) = 41776826

Factors of 6461

List of positive integer factors of 6461 that divides 6461 without a remainder.

1, 7, 13, 71, 91, 497, 923, 6461

Factors of 6466

List of positive integer factors of 6466 that divides 6466 without a remainder.

1, 2, 53, 61, 106, 122, 3233, 6466

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6461 and 6466, than apply into the LCM equation.

GCF(6461,6466) = 1
LCM(6461,6466) = ( 6461 × 6466) / 1
LCM(6461,6466) = 41776826 / 1
LCM(6461,6466) = 41776826

(i) The LCM of 6466 and 6461 is associative

LCM of 6461 and 6466 = LCM of 6466 and 6461

1. What is the LCM of 6461 and 6466?

Answer: LCM of 6461 and 6466 is 41776826.

2. What are the Factors of 6461?

Answer: Factors of 6461 are 1, 7, 13, 71, 91, 497, 923, 6461. There are 8 integers that are factors of 6461. The greatest factor of 6461 is 6461.

3. What are the Factors of 6466?

Answer: Factors of 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466. There are 8 integers that are factors of 6466. The greatest factor of 6466 is 6466.

4. How to Find the LCM of 6461 and 6466?

Answer:

Least Common Multiple of 6461 and 6466 = 41776826

Step 1: Find the prime factorization of 6461

6461 = 7 x 13 x 71

Step 2: Find the prime factorization of 6466

6466 = 2 x 53 x 61

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

LCM = 41776826 = 2 x 7 x 13 x 53 x 61 x 71

Step 4: Therefore, the least common multiple of 6461 and 6466 is 41776826.