Question

Find the LCM of 20 and 26
by using prime method​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 26. First we will calculate the prime factors of 20 and 26.

Prime Factorization of 20

2 20

2 10

5 5

1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Prime Factorization of 26

2 26

13 13

1

Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

Now multiplying the highest exponent prime factors to calculate the LCM of 20 and 26.Prime factors of 26 are 2,13. Prime factorization of 26 in exponential form is:

26 = 21×131

LCM(20,26) = 22×51×131

LCM(20,26) = 260

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13, 26

LCM(20,26) = 22×51×131

LCM(20,26) = 260

Factors of 20