Least Common Multiple of 81749 and 81753

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

• Least Common Multiple of 81749 and 81753 by Prime method
• Least Common Multiple of 81749 and 81753 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81749 and 81753. First we will calculate the prime factors of 81749 and 81753.

Prime Factorization of 81749

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

81749 = 81749¹

Prime Factorization of 81753

Prime factors of 81753 are 3, 7, 17,229. Prime factorization of 81753 in exponential form is:

81753 = 3¹×7¹×17¹×229¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81749 and 81753.

LCM(81749,81753) = 3¹×7¹×17¹×229¹×81749¹
LCM(81749,81753) = 6683225997

Factors of 81749

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

1, 81749

Factors of 81753

List of positive integer factors of 81753 that divides 81753 without a remainder.

1, 3, 7, 17, 21, 51, 119, 229, 357, 687, 1603, 3893, 4809, 11679, 27251, 81753

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81749 and 81753, than apply into the LCM equation.

GCF(81749,81753) = 1
LCM(81749,81753) = ( 81749 × 81753) / 1
LCM(81749,81753) = 6683225997 / 1
LCM(81749,81753) = 6683225997

(i) The LCM of 81753 and 81749 is associative

LCM of 81749 and 81753 = LCM of 81753 and 81749

1. What is the LCM of 81749 and 81753?

Answer: LCM of 81749 and 81753 is 6683225997.

2. 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.

3. What are the Factors of 81753?

Answer: Factors of 81753 are 1, 3, 7, 17, 21, 51, 119, 229, 357, 687, 1603, 3893, 4809, 11679, 27251, 81753. There are 16 integers that are factors of 81753. The greatest factor of 81753 is 81753.

4. How to Find the LCM of 81749 and 81753?

Answer:

Least Common Multiple of 81749 and 81753 = 6683225997

Step 1: Find the prime factorization of 81749

81749 = 81749

Step 2: Find the prime factorization of 81753

81753 = 3 x 7 x 17 x 229

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

LCM = 6683225997 = 3 x 7 x 17 x 229 x 81749

Step 4: Therefore, the least common multiple of 81749 and 81753 is 6683225997.