Question

find the L.C.M of 6 and 9​

Answer 1

Answer:

Answer: LCM of 6 and 9 is 18.

Answer 2

To Find :- L.C.M of 6 and 9 ?

Solution :-

we know that,

• LCM(Least common multiple) = Least number which is completely divisible by each one of the given numbers .

checking prime factors of 6 and 9 ,

→ 6 = 2¹ * 3¹

→ 9 = 3 * 3 = 3²

now, we know that,

→ LCM = Product of highest power of all the factors .

as we can see that,

• Highest power of 2 = 2¹ .
• Highest power of 3 = 3² .

therefore,

→ LCM = 2¹ * 3² = 2 * 3 * 3 = 18 (Ans.)

Hence, the LCM of 6 and 9 is 18 .

Extra knowledge :-

• HCF(Highest common factor) = Greatest number which exactly divides all the given numbers .
• HCF = Product of least power of common factors .

Learn more :-

वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे

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