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, first factor each number into its prime factors. Then, for each distinct prime factor, take the highest power that appears in any of the factorizations. Multiply these together to get the LCM.

Front

What is the LCM of 12 and 8?

Back

The LCM of 12 and 8 is 24.

Front

What is the LCM of 10 and 4?

Back

The LCM of 10 and 4 is 20.

Front

What is the LCM of 12 and 6?

Back

The LCM of 12 and 6 is 12.

Front

What is the LCM of 2 and 8?

Back

The LCM of 2 and 8 is 8.

Front

What is the LCM of 6 and 7?

Back

The LCM of 6 and 7 is 42.

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). This means that the product of the two numbers is equal to the product of their LCM and GCD.

Front

Can the LCM of two numbers be smaller than either of the numbers?

Back

No, the LCM of two numbers is always greater than or equal to the larger of the two numbers.

Front

What is the LCM of three numbers, for example, 4, 5, and 6?

Back

The LCM of 4, 5, and 6 is 60.