Dividing LCM (12) with a
we get 1 so we will muli tiply
Answers
Step-by-step explanation:
Least common multiple can be found by multiplying the highest exponent prime factors of 1 and 12. First we will calculate the prime factors of 1 and 12.
Prime Factorization of 1
Factor of 1 is 1
Prime Factorization of 12
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Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:
12 = 22×31
Now multiplying the highest exponent prime factors to calculate the LCM of 1 and 12.
LCM(1,12) = 22×31
LCM(1,12) = 12
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Answer:
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Step-by-step explanation:
LCM means Least Common Multiple. That means in this case, we need to look for a number which would be multiple of both 12 and 18. There are different ways to find it. One way would be you expand 12 by its smallest factors like
12 = 2 x 2 x 3
And 18 can be written by its smallest factors as 18 = 2 x 3 x 3
Now, we in order to find the LCM of 12 and 18 , we need to take the common factors only once(Factors in bold) and also the uncommon ones.
So the LCM will be like this = 2 x 3 x 2 x 3 = 36.
Another way of finding the LCM is as follows:
you keep multiplying each number by 2 then 3 and so till reach both resulting in same number. Check the below
12 x 2 = 24; 12 x 3 = 36
18 x 2 = 36
So, you see, we reached at 36 by multiplying just 2 to 18 and which is also a multiple of 12 (multiplied by 3), hence this is the least number which would common multiple to both 12 and 18. So, the LCM is 36.
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