Lowest common multiple (LCM)

The multiples of a number are all the numbers that it will divide into.

The multiples of {4} are {4}, {8}, {12}, {16}, {20}, {24}, {28}, {32}, {36}, {40}, {44} {...}

The multiples of {6} are {6}, {12}, {18}, {24}, {30}, {36}, {42}, {48}, {54}, {60}, {66} {...}

{12}, {24}, and {36} are multiples of both {4} and {6} and are known as the common multiples of {4} and {6}.

The lowest number that is a multiple of {4} and {6} is {12}. So the lowest common multiple (LCM) of {4} and {6} is {12}.

Question

What is the LCM of {5} and {8}?

The multiples of {5} are {5}, {10}, {15}, {20}, {25}, {30}, {35}, {40} {...}

The multiples of {8} are {8}, {16}, {24}, {32}, {40}, {48}, {56} {...}

So the LCM of {5} and {8} is {40}.

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