LCM

Front

What is the definition of 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 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 LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

What is the relationship between LCM and GCD (Greatest Common Divisor)?

Back

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

Front

Is 1 a multiple of every integer?

Back

Yes, 1 is a multiple of every integer.

Front

What are the first five multiples of 3?

Back

The first five multiples of 3 are 3, 6, 9, 12, and 15.

Front

How can you determine if a number is composite?

Back

A composite number has more than two distinct positive divisors (1 and itself).

Front

What is the LCM of 9 and 12?

Back

The LCM of 9 and 12 is 36.

Front

What is the smallest multiple of any number?

Back

The smallest multiple of any number is the number itself.

Front

How do you list the multiples of a number?

Back

To list the multiples of a number, multiply the number by integers (1, 2, 3, ...).