Least Common Multiple

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 1 and any number?

Back

The LCM of 1 and any number is the number itself.

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

How can you find the 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 LCM of two prime numbers?

Back

The LCM of two prime numbers is the product of the two numbers.

Front

What is the LCM of 0 and any number?

Back

The LCM of 0 and any number is undefined, as 0 cannot be a multiple of any number.

Front

How do you find the LCM of three or more numbers?

Back

To find the LCM of three or more numbers, find the LCM of the first two numbers, then use that result to find the LCM with the next number, and repeat until all numbers are included.

Front

What is the LCM of 8 and 12?

Back

The LCM of 8 and 12 is 24.

Front

What is the LCM of 15 and 25?

Back

The LCM of 15 and 25 is 75.