Question

If HCF (18, 72) = 18, then LCM (18,72):​

Answer 1

Answer:

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Step-by-step explanation:

we know that

LCM x HCF = Product of the two numbers

$lcm \: \times 18 = 18 \times 72 \\ = > lcm \: = \frac{18 \times 72}{18} \\ = > lcm = 72$

Answer 2

Given :  HCF (18, 72) = 18

To Find :   LCM (18,72)

Solution:

HCF ( a , b) * LCM ( a , b)  =  a * b

a = 18

b = 72

HCF (18, 72) = 18

LCM (18,72) = ?

=> 18 * LCM (18,72) = 18 * 72

=> LCM (18,72) = 72

LCM (18,72) is 72

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power  

LCM  - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.

LCM = product of each factor  of highest power

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