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Question

Find the LCM of the following numbers.
$$6$$ and $$5$$.
Observe a common property in the obtained LCMs. Is LCM the product of two numbers?

Solution
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LCM$$=2\times 3\times 4=30$$
$$2$$ $$|\underline{6, 5}$$
$$3$$ $$|\underline{3, 5}$$
$$5$$ $$|\underline{1, 5}$$
$$1, 1$$
Yes, it can be observed that in each case, the LCM of the given numbers is the product of these numbers. When two numbers are co-prime, their LCM is the product of those numbers. Also, in this case, LCM is a multiple of $$3$$.

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