Least Common Multiple of 81741 and 81746

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

• Least Common Multiple of 81741 and 81746 by Prime method
• Least Common Multiple of 81741 and 81746 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81741 and 81746. First we will calculate the prime factors of 81741 and 81746.

Prime Factorization of 81741

Prime factors of 81741 are 3, 11,2477. Prime factorization of 81741 in exponential form is:

81741 = 3¹×11¹×2477¹

Prime Factorization of 81746

Prime factors of 81746 are 2, 7,5839. Prime factorization of 81746 in exponential form is:

81746 = 2¹×7¹×5839¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81741 and 81746.

LCM(81741,81746) = 2¹×3¹×7¹×11¹×2477¹×5839¹
LCM(81741,81746) = 6681999786

Factors of 81741

List of positive integer factors of 81741 that divides 81741 without a remainder.

1, 3, 11, 33, 2477, 7431, 27247, 81741

Factors of 81746

List of positive integer factors of 81746 that divides 81746 without a remainder.

1, 2, 7, 14, 5839, 11678, 40873, 81746

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81741 and 81746, than apply into the LCM equation.

GCF(81741,81746) = 1
LCM(81741,81746) = ( 81741 × 81746) / 1
LCM(81741,81746) = 6681999786 / 1
LCM(81741,81746) = 6681999786

(i) The LCM of 81746 and 81741 is associative

LCM of 81741 and 81746 = LCM of 81746 and 81741

1. What is the LCM of 81741 and 81746?

Answer: LCM of 81741 and 81746 is 6681999786.

2. What are the Factors of 81741?

Answer: Factors of 81741 are 1, 3, 11, 33, 2477, 7431, 27247, 81741. There are 8 integers that are factors of 81741. The greatest factor of 81741 is 81741.

3. What are the Factors of 81746?

Answer: Factors of 81746 are 1, 2, 7, 14, 5839, 11678, 40873, 81746. There are 8 integers that are factors of 81746. The greatest factor of 81746 is 81746.

4. How to Find the LCM of 81741 and 81746?

Answer:

Least Common Multiple of 81741 and 81746 = 6681999786

Step 1: Find the prime factorization of 81741

81741 = 3 x 11 x 2477

Step 2: Find the prime factorization of 81746

81746 = 2 x 7 x 5839

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

LCM = 6681999786 = 2 x 3 x 7 x 11 x 2477 x 5839

Step 4: Therefore, the least common multiple of 81741 and 81746 is 6681999786.