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 and multiply them together.

Front

What is the LCM of 1 and any number?

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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 multiple numbers?

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To find the LCM of multiple numbers, you can 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 6 and 9?

Back

The LCM of 6 and 9 is 18.

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What is the LCM of 12 and 15?

Back

The LCM of 12 and 15 is 60.

Front

How does listing multiples help in finding the LCM?

Back

Listing the multiples of each number helps to visually identify the smallest common multiple.

Front

What is the LCM of 5 and 7?

Back

The LCM of 5 and 7 is 35.

Front

What is the LCM of 10 and 25?

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The LCM of 10 and 25 is 50.