Find the LCM of 12 and 18.
Answers
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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Answer:
It's answer is 36....
Step-by-step explanation:
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