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.

Front

What is the LCM of 10 and 6?

Back

30

Front

What is the LCM of 5 and 10?

Back

10

Front

What is the LCM of 12 and 8?

Back

24

Front

What is the LCM of 2 and 8?

Back

8

Front

What is the LCM of 3 and 8?

Back

24

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

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 a number and itself?

Back

The LCM of a number and itself is the number itself.