Question

LCM of 23 * 32 and 22 * 33 is
(A) 23
(B) 33
(C) 23 * 33
(D) 22 *32

Answer 1

Answer:

$\text{The LCM is }2^3\times 3^3$

Step-by-step explanation:

Given two numbers

$2^3\times 3^2\text{ and }2^2\times 3^3$

we have to find the LCM of above two numbers.

LCM is the least common multiple

LCM of 2 numbers is the smallest number that they both divide evenly into.

To find LCM we have to multiply the highest exponent number from both the numbers.

$2^3\times 3^2=2\times 2\times 2\times 3\times 3$

$2^2\times 3^3=2\times 2\times 3\times3\times 3$

$LCM(2^3\times 3^2, 2^2\times 3^3)=2^3\times 3^3$

which is required LCM.

Option C is correct

Answer 2

2³ × 3³

Step-by-step explanation:

We need to find the LCM of $2^3\times 3^2$ and $2^2\times 3^3$.

To find the L.C.M. take the common power factors of the prime factors and then multiply them by the remaining terms left.

Common terms between : 2³ × 3² and 2² × 3³ = 2² × 3²

So,

L.C.M. of 2³ × 3² and 2² × 3³ = 2² × 3² × 2 × 3

L.C.M. of 2³ × 3² and 2² × 3³ = 2³ × 3³

Hence, The correct option is (C). 2³ × 3³

Learn more

LCM

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