Least Common Multiple (LCM) Quiz

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define lcm(a, 0) as 0 for all a, since 0 is the only common multiple of a and 0. The least common multiple of the denominators of two fractions is the ______ (lcd), and can be used for adding, subtracting or comparing the fractions.

In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define lcm(a, 0) as 0 for all a, since 0 is the only common multiple of a and 0. The ______ of more than two integers a, b, c,. , usually denoted by lcm(a, b, c,.), is defined as the smallest positive integer that is divisible by each of a, b, c,.

A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 imes 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the ______ of 5 and 2.

By the same principle, 10 is the ______ of −5 and −2 as well.

The least common multiple of two integers a and b is denoted as ______.