Least Common Multiple

Front

What is the definition of the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers.

Front

How do you find the least common multiple (LCM) of two numbers using prime factorization?

Back

To find the LCM using prime factorization, factor each number into its prime factors, then take the highest power of each prime that appears in the factorizations and multiply them together.

Front

What is the least common multiple (LCM) of 1 and any other number?

Back

The least common multiple (LCM) of 1 and any other number is the other number itself.

Front

What is the relationship between the least common multiple (LCM) and the greatest common divisor (GCD)?

Back

The relationship is given by the formula: LCM(a, b) = (a * b) / GCD(a, b).

Front

How can you find the least common multiple (LCM) of two numbers using listing multiples?

Back

To find the LCM by listing multiples, list the multiples of each number until you find the smallest common multiple.

Front

What is the least common multiple (LCM) of 6 and 9?

Back

The least common multiple (LCM) of 6 and 9 is 18.

Front

What is the least common multiple (LCM) of 12 and 15?

Back

The least common multiple (LCM) of 12 and 15 is 60.

Front

Which of the following numbers is NOT a multiple of 5: 10, 15, 22, 25?

Back

22 is NOT a multiple of 5.

Front

What is the least common multiple (LCM) of 4 and 10?

Back

The least common multiple (LCM) of 4 and 10 is 20.

Front

How do you determine if a number is a factor of another number?

Back

A number is a factor of another number if it divides that number without leaving a remainder.