Question

find the least common multiple of each pair of numbers which pair of numbers have the least common multiple with the greatest value 4 and 84 and 95 and 76 and 8

Answer 1

4 and 9

Step-by-step explanation:

1. 4 and 8

`\begin{gathered} 4=2^2 \\ 8=2^3 \\ L\mathrm{}C\mathrm{}M=2^3=8 \end{gathered}`

2. 4 and 9

`\begin{gathered} 4=2^2 \\ 9=3^2 \\ LCM=2^2*3^2=36 \end{gathered}`

3. LCM of 5 and 7 =35

4. 6 and 8

`\begin{gathered} 6=2*3 \\ 8=2^3 \\ LCM=2^3*3=24 \end{gathered}`

Therefore, the pair of numbers that have the least common multiple with the greatest value is 4 and 9.