Least Common Multiple of 81754 and 81761

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

• Least Common Multiple of 81754 and 81761 by Prime method
• Least Common Multiple of 81754 and 81761 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81754 and 81761. First we will calculate the prime factors of 81754 and 81761.

Prime Factorization of 81754

Prime factors of 81754 are 2, 41,997. Prime factorization of 81754 in exponential form is:

81754 = 2¹×41¹×997¹

Prime Factorization of 81761

Prime factors of 81761 are 81761. Prime factorization of 81761 in exponential form is:

81761 = 81761¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81754 and 81761.

LCM(81754,81761) = 2¹×41¹×997¹×81761¹
LCM(81754,81761) = 6684288794

Factors of 81754

List of positive integer factors of 81754 that divides 81754 without a remainder.

1, 2, 41, 82, 997, 1994, 40877, 81754

Factors of 81761

List of positive integer factors of 81761 that divides 81761 without a remainder.

1, 81761

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81754 and 81761, than apply into the LCM equation.

GCF(81754,81761) = 1
LCM(81754,81761) = ( 81754 × 81761) / 1
LCM(81754,81761) = 6684288794 / 1
LCM(81754,81761) = 6684288794

(i) The LCM of 81761 and 81754 is associative

LCM of 81754 and 81761 = LCM of 81761 and 81754

1. What is the LCM of 81754 and 81761?

Answer: LCM of 81754 and 81761 is 6684288794.

2. What are the Factors of 81754?

Answer: Factors of 81754 are 1, 2, 41, 82, 997, 1994, 40877, 81754. There are 8 integers that are factors of 81754. The greatest factor of 81754 is 81754.

3. What are the Factors of 81761?

Answer: Factors of 81761 are 1, 81761. There are 2 integers that are factors of 81761. The greatest factor of 81761 is 81761.

4. How to Find the LCM of 81754 and 81761?

Answer:

Least Common Multiple of 81754 and 81761 = 6684288794

Step 1: Find the prime factorization of 81754

81754 = 2 x 41 x 997

Step 2: Find the prime factorization of 81761

81761 = 81761

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

LCM = 6684288794 = 2 x 41 x 997 x 81761

Step 4: Therefore, the least common multiple of 81754 and 81761 is 6684288794.