Least Common Multiple of 81718 and 81722

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

• Least Common Multiple of 81718 and 81722 by Prime method
• Least Common Multiple of 81718 and 81722 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81718 and 81722. First we will calculate the prime factors of 81718 and 81722.

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 81722

Prime factors of 81722 are 2, 29,1409. Prime factorization of 81722 in exponential form is:

81722 = 2¹×29¹×1409¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81718 and 81722.

LCM(81718,81722) = 2¹×7¹×13¹×29¹×449¹×1409¹
LCM(81718,81722) = 3339079198

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 81722

List of positive integer factors of 81722 that divides 81722 without a remainder.

1, 2, 29, 58, 1409, 2818, 40861, 81722

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81718 and 81722, than apply into the LCM equation.

GCF(81718,81722) = 2
LCM(81718,81722) = ( 81718 × 81722) / 2
LCM(81718,81722) = 6678158396 / 2
LCM(81718,81722) = 3339079198

(i) The LCM of 81722 and 81718 is associative

LCM of 81718 and 81722 = LCM of 81722 and 81718

1. What is the LCM of 81718 and 81722?

Answer: LCM of 81718 and 81722 is 3339079198.

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 81722?

Answer: Factors of 81722 are 1, 2, 29, 58, 1409, 2818, 40861, 81722. There are 8 integers that are factors of 81722. The greatest factor of 81722 is 81722.

4. How to Find the LCM of 81718 and 81722?

Answer:

Least Common Multiple of 81718 and 81722 = 3339079198

Step 1: Find the prime factorization of 81718

81718 = 2 x 7 x 13 x 449

Step 2: Find the prime factorization of 81722

81722 = 2 x 29 x 1409

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

LCM = 3339079198 = 2 x 7 x 13 x 29 x 449 x 1409

Step 4: Therefore, the least common multiple of 81718 and 81722 is 3339079198.