Math, asked by shaywillard17, 4 months ago

Find the LCM of 12 and 18.

Answers

Answered by swainanjali493
3

Answer:

Least Common Multiple (LCM) of 12 and 18 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12 and 18. First we will calculate the prime factors of 12 and 18.

Prime Factorization of 12

2 12

2 6

3 3

1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:

12 = 22×31

Prime Factorization of 18

2 18

3 9

3 3

1

Prime factors of 18 are 2,3. Prime factorization of 18 in exponential form is:

18 = 21×32

Now multiplying the highest exponent prime factors to calculate the LCM of 12 and 18.

LCM(12,18) = 22×32

LCM(12,18) = 36

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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Answered by Anonymous
19

Answer:

It's answer is 36....

Step-by-step explanation:

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