Least Common Multiple of 75687 and 75691

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

• Least Common Multiple of 75687 and 75691 by Prime method
• Least Common Multiple of 75687 and 75691 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 75687 and 75691. First we will calculate the prime factors of 75687 and 75691.

Prime Factorization of 75687

Prime factors of 75687 are 3,25229. Prime factorization of 75687 in exponential form is:

75687 = 3¹×25229¹

Prime Factorization of 75691

Prime factors of 75691 are 7, 11,983. Prime factorization of 75691 in exponential form is:

75691 = 7¹×11¹×983¹

Now multiplying the highest exponent prime factors to calculate the LCM of 75687 and 75691.

LCM(75687,75691) = 3¹×7¹×11¹×983¹×25229¹
LCM(75687,75691) = 5728824717

Factors of 75687

List of positive integer factors of 75687 that divides 75687 without a remainder.

1, 3, 25229, 75687

Factors of 75691

List of positive integer factors of 75691 that divides 75691 without a remainder.

1, 7, 11, 77, 983, 6881, 10813, 75691

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75687 and 75691, than apply into the LCM equation.

GCF(75687,75691) = 1
LCM(75687,75691) = ( 75687 × 75691) / 1
LCM(75687,75691) = 5728824717 / 1
LCM(75687,75691) = 5728824717

(i) The LCM of 75691 and 75687 is associative

LCM of 75687 and 75691 = LCM of 75691 and 75687

1. What is the LCM of 75687 and 75691?

Answer: LCM of 75687 and 75691 is 5728824717.

2. What are the Factors of 75687?

Answer: Factors of 75687 are 1, 3, 25229, 75687. There are 4 integers that are factors of 75687. The greatest factor of 75687 is 75687.

3. What are the Factors of 75691?

Answer: Factors of 75691 are 1, 7, 11, 77, 983, 6881, 10813, 75691. There are 8 integers that are factors of 75691. The greatest factor of 75691 is 75691.

4. How to Find the LCM of 75687 and 75691?

Answer:

Least Common Multiple of 75687 and 75691 = 5728824717

Step 1: Find the prime factorization of 75687

75687 = 3 x 25229

Step 2: Find the prime factorization of 75691

75691 = 7 x 11 x 983

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

LCM = 5728824717 = 3 x 7 x 11 x 983 x 25229

Step 4: Therefore, the least common multiple of 75687 and 75691 is 5728824717.