Least Common Multiple of 81718 and 81723

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

• Least Common Multiple of 81718 and 81723 by Prime method
• Least Common Multiple of 81718 and 81723 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81718 and 81723. First we will calculate the prime factors of 81718 and 81723.

Prime Factorization of 81718

Prime factors of 81718 are 2, 7, 13,449. Prime factorization of 81718 in exponential form is:

81718 = 2¹×7¹×13¹×449¹

Prime Factorization of 81723

Prime factors of 81723 are 3,27241. Prime factorization of 81723 in exponential form is:

81723 = 3¹×27241¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81718 and 81723.

LCM(81718,81723) = 2¹×3¹×7¹×13¹×449¹×27241¹
LCM(81718,81723) = 6678240114

Factors of 81718

List of positive integer factors of 81718 that divides 81718 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859, 81718

Factors of 81723

List of positive integer factors of 81723 that divides 81723 without a remainder.

1, 3, 27241, 81723

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81718 and 81723, than apply into the LCM equation.

GCF(81718,81723) = 1
LCM(81718,81723) = ( 81718 × 81723) / 1
LCM(81718,81723) = 6678240114 / 1
LCM(81718,81723) = 6678240114

(i) The LCM of 81723 and 81718 is associative

LCM of 81718 and 81723 = LCM of 81723 and 81718

1. What is the LCM of 81718 and 81723?

Answer: LCM of 81718 and 81723 is 6678240114.

2. What are the Factors of 81718?

Answer: Factors of 81718 are 1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859, 81718. There are 16 integers that are factors of 81718. The greatest factor of 81718 is 81718.

3. What are the Factors of 81723?

Answer: Factors of 81723 are 1, 3, 27241, 81723. There are 4 integers that are factors of 81723. The greatest factor of 81723 is 81723.

4. How to Find the LCM of 81718 and 81723?

Answer:

Least Common Multiple of 81718 and 81723 = 6678240114

Step 1: Find the prime factorization of 81718

81718 = 2 x 7 x 13 x 449

Step 2: Find the prime factorization of 81723

81723 = 3 x 27241

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

LCM = 6678240114 = 2 x 3 x 7 x 13 x 449 x 27241

Step 4: Therefore, the least common multiple of 81718 and 81723 is 6678240114.