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Let a and b be non-zero integers. Do not appeal to the fundamental theorem of arithmetic...

Let a and b be non-zero integers. Do not appeal to the fundamental theorem of arithmetic to do to this problem.

Show that if a and b have a least common multiple it is unique.

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Here I'm using definition of Least common multiple.if l is a LCM of a and b the a|l ,b|l .And if there is any other integer m that a|m,b|m then l|m also.here I'm assuming two lcm and show are equal.explaination is below thank you.any query comment.

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