Least Common Multiple of 81734 and 81741

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

• Least Common Multiple of 81734 and 81741 by Prime method
• Least Common Multiple of 81734 and 81741 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81734 and 81741. First we will calculate the prime factors of 81734 and 81741.

Prime Factorization of 81734

Prime factors of 81734 are 2,40867. Prime factorization of 81734 in exponential form is:

81734 = 2¹×40867¹

Prime Factorization of 81741

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

81741 = 3¹×11¹×2477¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81734 and 81741.

LCM(81734,81741) = 2¹×3¹×11¹×2477¹×40867¹
LCM(81734,81741) = 6681018894

Factors of 81734

List of positive integer factors of 81734 that divides 81734 without a remainder.

1, 2, 40867, 81734

Factors of 81741

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81734 and 81741, than apply into the LCM equation.

GCF(81734,81741) = 1
LCM(81734,81741) = ( 81734 × 81741) / 1
LCM(81734,81741) = 6681018894 / 1
LCM(81734,81741) = 6681018894

(i) The LCM of 81741 and 81734 is associative

LCM of 81734 and 81741 = LCM of 81741 and 81734

1. What is the LCM of 81734 and 81741?

Answer: LCM of 81734 and 81741 is 6681018894.

2. What are the Factors of 81734?

Answer: Factors of 81734 are 1, 2, 40867, 81734. There are 4 integers that are factors of 81734. The greatest factor of 81734 is 81734.

3. 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.

4. How to Find the LCM of 81734 and 81741?

Answer:

Least Common Multiple of 81734 and 81741 = 6681018894

Step 1: Find the prime factorization of 81734

81734 = 2 x 40867

Step 2: Find the prime factorization of 81741

81741 = 3 x 11 x 2477

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

LCM = 6681018894 = 2 x 3 x 11 x 2477 x 40867

Step 4: Therefore, the least common multiple of 81734 and 81741 is 6681018894.