Question

if the product of two coprime number is 136 the their LCM will be

Answer 1

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$\mathbb{\underline{\blue{Points\: To\: Remember:}}}$

¶¶ The Product of Two No.s is equal to the product of their L.C.M & H.C.F

¶¶ The H.C.F of two Co-prime No.s is always 1

• If two No.s are x & y

$H.C.F × L.C.M = x × y$

If x & y are Coprime, H.C.F = 1

= $1 × L.C.M = x × y$

= $L.C.M = x × y$

•°•

¶¶¶¶¶¶ Conclusion :

If 2 No.s are Co- prime to each other, then their L.C.M is its Product

$\mathbb{\underline{\purple{SOLUTION}}}$

Given,
Two No.s are Co-prime
Product of two No.s = 136

As per above points,
LCM = Product of two No.s

•°• $\underline{\underline{Required\: L.C.M = 136}}$

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