Question

lcm of 23×32 and 22×33 is

Answer 1

lcm of 23 × 32 and 22 × 33
=lcm of 736 and 726
=267168

Answer 2

Answer:

The LCM is 267168

Step-by-step explanation:

Given two numbers

$23\times 32\text{ and }22\times 33$

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

$23\times 32=2\times 2\times 2\times 2\times 2\times 23=2^5\times 23^1$

$22\times 33=2\times 3\times 11\times 11=2\times 3\times 11^2$

$LCM(23\times 32, 22\times 33)=2^5\times 23\times 3\times 11^2=267168$

which is required LCM.