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 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.

Front

What is the LCM of 8 and 12?

Back

The LCM of 8 and 12 is 24.

Front

List the first five multiples of 5.

Back

5, 10, 15, 20, 25.

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

What is the LCM of 3, 5, and 7?

Back

The LCM of 3, 5, and 7 is 105.

Front

How can you find the LCM of more than two numbers?

Back

To find the LCM of more than two numbers, find the LCM of the first two numbers, then use that result to find the LCM with the next number, and repeat.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

Identify whether the number 15 is prime or composite.

Back

The number 15 is composite because it has divisors other than 1 and itself (3 and 5).

Front

What are the factors of 30?

Back

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.