Least Common Multiple of 81742 and 81749

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

• Least Common Multiple of 81742 and 81749 by Prime method
• Least Common Multiple of 81742 and 81749 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81742 and 81749. First we will calculate the prime factors of 81742 and 81749.

Prime Factorization of 81742

Prime factors of 81742 are 2, 23,1777. Prime factorization of 81742 in exponential form is:

81742 = 2¹×23¹×1777¹

Prime Factorization of 81749

Prime factors of 81749 are 81749. Prime factorization of 81749 in exponential form is:

81749 = 81749¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81742 and 81749.

LCM(81742,81749) = 2¹×23¹×1777¹×81749¹
LCM(81742,81749) = 6682326758

Factors of 81742

List of positive integer factors of 81742 that divides 81742 without a remainder.

1, 2, 23, 46, 1777, 3554, 40871, 81742

Factors of 81749

List of positive integer factors of 81749 that divides 81749 without a remainder.

1, 81749

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81742 and 81749, than apply into the LCM equation.

GCF(81742,81749) = 1
LCM(81742,81749) = ( 81742 × 81749) / 1
LCM(81742,81749) = 6682326758 / 1
LCM(81742,81749) = 6682326758

(i) The LCM of 81749 and 81742 is associative

LCM of 81742 and 81749 = LCM of 81749 and 81742

1. What is the LCM of 81742 and 81749?

Answer: LCM of 81742 and 81749 is 6682326758.

2. What are the Factors of 81742?

Answer: Factors of 81742 are 1, 2, 23, 46, 1777, 3554, 40871, 81742. There are 8 integers that are factors of 81742. The greatest factor of 81742 is 81742.

3. What are the Factors of 81749?

Answer: Factors of 81749 are 1, 81749. There are 2 integers that are factors of 81749. The greatest factor of 81749 is 81749.

4. How to Find the LCM of 81742 and 81749?

Answer:

Least Common Multiple of 81742 and 81749 = 6682326758

Step 1: Find the prime factorization of 81742

81742 = 2 x 23 x 1777

Step 2: Find the prime factorization of 81749

81749 = 81749

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

LCM = 6682326758 = 2 x 23 x 1777 x 81749

Step 4: Therefore, the least common multiple of 81742 and 81749 is 6682326758.