How do you find the Least common multiple of 14, 6?

##L.C.M(14,6)=42##

There are two ways to find ##" "L.C.M(14,6)## ##" "## First method: ##" "## List the multiples of 14 . ##" "## List the multiples of 6. ##" "## Choose the non-zero common multiple between the two lists. ##" "## Let us apply it: ##" "## Multiples of 14 are: ##" "## ##" "0," "14," "28," "42.........## ##" "## Multiples of 6 are : ##" "## ##" "0," "6," "12," "18," "24," "30," "36," "42........## ##" "## Therefore, ##" "L.C.M(14,6) = 42## ##" "## ##" "## Second method: ##" "## Write the of 14 and 6. ##" "## Take all the with highest exponent from the prime factorization. ##" "## Ex :##" "color(blue)(9=3^2)" "and" "color(red)(6=2xx3)## ##" "## ##L.C.M(9,6) = color(blue)(3^2)xxcolor(red)2=18## ##" "## Let us apply this method to find ##" "L.C.M(14,6)##. ##" "## ##14=2xx7" " and " "6=2xx3## ##" "## ##L.C.M(14,6)=2xx3xx7=42##