Question

Find LCM by prime factorization method

a) 14,20​

Answer 1

Least common multiple can be found by multiplying the highest exponent prime factors of 14 and 20. First we will calculate the prime factors of 14 and 20.

Prime Factorization of 14

2 14

7 7

1

Prime factors of 14 are 2,7. Prime factorization of 14 in exponential form is:

14 = 21×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 14 and 20.

LCM(14,20) = 22×51×71

LCM(14,20) = 140

Answer 2

LCM is equal to 140

this answer is required

1. prime factorization of 14 = 2×7
2. prime factorization of 20 =2×2×5
3. multiply the each factor greater number of times it occurs in steps first or second above to find the LCM= 2×2×5×7

LCM equal to 140..

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