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What is the LCM of 24a^3 b and 36ab ^2

What is the LCM of 24a^3 b and 36ab ^2-example-1
User Sceat
by
8.9k points

2 Answers

3 votes

Answer:

72a^3b^2

Explanation:

The LCM is the number divisible by both numbers, multiples of 24 are 24,48,72 etc 36 is 36,72,108 etc the least I'd 72. with exponents it's the highest exponent because a^3 is a*a*a

User Nevilad
by
8.3k points
6 votes

Answer: Last Option


72a^3b^2

Explanation:

We look for the LCM between
24a^3 b and
36ab ^2

First find the prime factors of 24 and 36

24 | 2

12 | 2

6 | 2

3 | 3

1


24=2^3*3

36 | 2

18 | 2

9 | 3

3 | 3

1


36=2^2 * 3^2

Then we have:


2^3*3a^3b and
2^2 * 3^2ab^2

Now we choose the common and uncommon factors raised to the greatest exponent


LCM(2^3*3a^3b,\ 2^2 *3^2ab^2)=2^3(3^2)a^3b^2\\\\LCM(2^3*3a^3b,\ 2^2 * 3^2ab^2) =72a^3b^2

User Naseema
by
8.0k points

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