Least Common Multiple of 5077 and 5082

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

• Least Common Multiple of 5077 and 5082 by Prime method
• Least Common Multiple of 5077 and 5082 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 5077 and 5082. First we will calculate the prime factors of 5077 and 5082.

Prime Factorization of 5077

Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:

5077 = 5077¹

Prime Factorization of 5082

Prime factors of 5082 are 2, 3, 7,11. Prime factorization of 5082 in exponential form is:

5082 = 2¹×3¹×7¹×11²

Now multiplying the highest exponent prime factors to calculate the LCM of 5077 and 5082.

LCM(5077,5082) = 2¹×3¹×7¹×11²×5077¹
LCM(5077,5082) = 25801314

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1, 5077

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5077 and 5082, than apply into the LCM equation.

GCF(5077,5082) = 1
LCM(5077,5082) = ( 5077 × 5082) / 1
LCM(5077,5082) = 25801314 / 1
LCM(5077,5082) = 25801314

(i) The LCM of 5082 and 5077 is associative

LCM of 5077 and 5082 = LCM of 5082 and 5077

1. What is the LCM of 5077 and 5082?

Answer: LCM of 5077 and 5082 is 25801314.

2. What are the Factors of 5077?

Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.

3. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

4. How to Find the LCM of 5077 and 5082?

Answer:

Least Common Multiple of 5077 and 5082 = 25801314

Step 1: Find the prime factorization of 5077

5077 = 5077

Step 2: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

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

LCM = 25801314 = 2 x 3 x 7 x 11 x 11 x 5077

Step 4: Therefore, the least common multiple of 5077 and 5082 is 25801314.