Least Common Multiple of 81746 and 81754

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

• Least Common Multiple of 81746 and 81754 by Prime method
• Least Common Multiple of 81746 and 81754 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81746 and 81754. First we will calculate the prime factors of 81746 and 81754.

Prime Factorization of 81746

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

81746 = 2¹×7¹×5839¹

Prime Factorization of 81754

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

81754 = 2¹×41¹×997¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81746 and 81754.

LCM(81746,81754) = 2¹×7¹×41¹×997¹×5839¹
LCM(81746,81754) = 3341531242

Factors of 81746

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

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

Factors of 81754

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81746 and 81754, than apply into the LCM equation.

GCF(81746,81754) = 2
LCM(81746,81754) = ( 81746 × 81754) / 2
LCM(81746,81754) = 6683062484 / 2
LCM(81746,81754) = 3341531242

(i) The LCM of 81754 and 81746 is associative

LCM of 81746 and 81754 = LCM of 81754 and 81746

1. What is the LCM of 81746 and 81754?

Answer: LCM of 81746 and 81754 is 3341531242.

2. 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.

3. 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.

4. How to Find the LCM of 81746 and 81754?

Answer:

Least Common Multiple of 81746 and 81754 = 3341531242

Step 1: Find the prime factorization of 81746

81746 = 2 x 7 x 5839

Step 2: Find the prime factorization of 81754

81754 = 2 x 41 x 997

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

LCM = 3341531242 = 2 x 7 x 41 x 997 x 5839

Step 4: Therefore, the least common multiple of 81746 and 81754 is 3341531242.