Least Common Multiple of 81726 and 81734

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

• Least Common Multiple of 81726 and 81734 by Prime method
• Least Common Multiple of 81726 and 81734 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81726 and 81734. First we will calculate the prime factors of 81726 and 81734.

Prime Factorization of 81726

Prime factors of 81726 are 2, 3, 53,257. Prime factorization of 81726 in exponential form is:

81726 = 2¹×3¹×53¹×257¹

Prime Factorization of 81734

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

81734 = 2¹×40867¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81726 and 81734.

LCM(81726,81734) = 2¹×3¹×53¹×257¹×40867¹
LCM(81726,81734) = 3339896442

Factors of 81726

List of positive integer factors of 81726 that divides 81726 without a remainder.

1, 2, 3, 6, 53, 106, 159, 257, 318, 514, 771, 1542, 13621, 27242, 40863, 81726

Factors of 81734

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

1, 2, 40867, 81734

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81726 and 81734, than apply into the LCM equation.

GCF(81726,81734) = 2
LCM(81726,81734) = ( 81726 × 81734) / 2
LCM(81726,81734) = 6679792884 / 2
LCM(81726,81734) = 3339896442

(i) The LCM of 81734 and 81726 is associative

LCM of 81726 and 81734 = LCM of 81734 and 81726

1. What is the LCM of 81726 and 81734?

Answer: LCM of 81726 and 81734 is 3339896442.

2. What are the Factors of 81726?

Answer: Factors of 81726 are 1, 2, 3, 6, 53, 106, 159, 257, 318, 514, 771, 1542, 13621, 27242, 40863, 81726. There are 16 integers that are factors of 81726. The greatest factor of 81726 is 81726.

3. 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.

4. How to Find the LCM of 81726 and 81734?

Answer:

Least Common Multiple of 81726 and 81734 = 3339896442

Step 1: Find the prime factorization of 81726

81726 = 2 x 3 x 53 x 257

Step 2: Find the prime factorization of 81734

81734 = 2 x 40867

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

LCM = 3339896442 = 2 x 3 x 53 x 257 x 40867

Step 4: Therefore, the least common multiple of 81726 and 81734 is 3339896442.