Answer:
[tex]LCM(56,136)=952[/tex]
Step-by-step explanation:
To find the LCM of two numbers, factorize both these numbers:
[tex]56=2\cdot 28=2\cdot 2\cdot 14=2\cdot 2\cdot 2\cdot 7=2^3\cdot 7\\ \\136=2\cdot 68=2\cdot 2\cdot 34=2\cdot 2\cdot 2\cdot 17=2^3\cdot 17[/tex]
These two numbers have the common factor of [tex]2^3.[/tex]
Now multiply this common factor by the remaining factors:
[tex]LCM(56,136)=2^3 \cdot 7\cdot 17=952[/tex]
Therefore, the LCM is 952.
