Least Common Multiple of 75682 and 75686

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

• Least Common Multiple of 75682 and 75686 by Prime method
• Least Common Multiple of 75682 and 75686 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 75682 and 75686. First we will calculate the prime factors of 75682 and 75686.

Prime Factorization of 75682

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

75682 = 2¹×79¹×479¹

Prime Factorization of 75686

Prime factors of 75686 are 2, 13, 41,71. Prime factorization of 75686 in exponential form is:

75686 = 2¹×13¹×41¹×71¹

Now multiplying the highest exponent prime factors to calculate the LCM of 75682 and 75686.

LCM(75682,75686) = 2¹×13¹×41¹×71¹×79¹×479¹
LCM(75682,75686) = 2864033926

Factors of 75682

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

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

Factors of 75686

List of positive integer factors of 75686 that divides 75686 without a remainder.

1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843, 75686

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75682 and 75686, than apply into the LCM equation.

GCF(75682,75686) = 2
LCM(75682,75686) = ( 75682 × 75686) / 2
LCM(75682,75686) = 5728067852 / 2
LCM(75682,75686) = 2864033926

(i) The LCM of 75686 and 75682 is associative

LCM of 75682 and 75686 = LCM of 75686 and 75682

1. What is the LCM of 75682 and 75686?

Answer: LCM of 75682 and 75686 is 2864033926.

2. 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.

3. What are the Factors of 75686?

Answer: Factors of 75686 are 1, 2, 13, 26, 41, 71, 82, 142, 533, 923, 1066, 1846, 2911, 5822, 37843, 75686. There are 16 integers that are factors of 75686. The greatest factor of 75686 is 75686.

4. How to Find the LCM of 75682 and 75686?

Answer:

Least Common Multiple of 75682 and 75686 = 2864033926

Step 1: Find the prime factorization of 75682

75682 = 2 x 79 x 479

Step 2: Find the prime factorization of 75686

75686 = 2 x 13 x 41 x 71

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

LCM = 2864033926 = 2 x 13 x 41 x 71 x 79 x 479

Step 4: Therefore, the least common multiple of 75682 and 75686 is 2864033926.