Least Common Multiple of 75679 and 75682

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

• Least Common Multiple of 75679 and 75682 by Prime method
• Least Common Multiple of 75679 and 75682 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 75679 and 75682. First we will calculate the prime factors of 75679 and 75682.

Prime Factorization of 75679

Prime factors of 75679 are 75679. Prime factorization of 75679 in exponential form is:

75679 = 75679¹

Prime Factorization of 75682

Prime factors of 75682 are 2, 79,479. Prime factorization of 75682 in exponential form is:

75682 = 2¹×79¹×479¹

Now multiplying the highest exponent prime factors to calculate the LCM of 75679 and 75682.

LCM(75679,75682) = 2¹×79¹×479¹×75679¹
LCM(75679,75682) = 5727538078

Factors of 75679

List of positive integer factors of 75679 that divides 75679 without a remainder.

1, 75679

Factors of 75682

List of positive integer factors of 75682 that divides 75682 without a remainder.

1, 2, 79, 158, 479, 958, 37841, 75682

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75679 and 75682, than apply into the LCM equation.

GCF(75679,75682) = 1
LCM(75679,75682) = ( 75679 × 75682) / 1
LCM(75679,75682) = 5727538078 / 1
LCM(75679,75682) = 5727538078

(i) The LCM of 75682 and 75679 is associative

LCM of 75679 and 75682 = LCM of 75682 and 75679

1. What is the LCM of 75679 and 75682?

Answer: LCM of 75679 and 75682 is 5727538078.

2. What are the Factors of 75679?

Answer: Factors of 75679 are 1, 75679. There are 2 integers that are factors of 75679. The greatest factor of 75679 is 75679.

3. What are the Factors of 75682?

Answer: Factors of 75682 are 1, 2, 79, 158, 479, 958, 37841, 75682. There are 8 integers that are factors of 75682. The greatest factor of 75682 is 75682.

4. How to Find the LCM of 75679 and 75682?

Answer:

Least Common Multiple of 75679 and 75682 = 5727538078

Step 1: Find the prime factorization of 75679

75679 = 75679

Step 2: Find the prime factorization of 75682

75682 = 2 x 79 x 479

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

LCM = 5727538078 = 2 x 79 x 479 x 75679

Step 4: Therefore, the least common multiple of 75679 and 75682 is 5727538078.