Question

The largest 2-digit number exactly divisible by 24 and 36 is​

Answer 1

SOLUTION

TO DETERMINE

The largest 2-digit number exactly divisible by 24 and 36

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given numbers are 24 , 36

We now prime factorise the given numbers

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

So the LCM

= 2 × 2 × 2 × 3 × 3

= 72

Now

72 × 1 = 72 : Which is 2 digit number

72 × 2 = 144 : Which is 3 digit number

Hence the required number = 72

FINAL ANSWER

The largest 2-digit number exactly divisible by 24 and 36 is 72

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