Least common Multiples

Front

What is 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 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 8 and 12?

Back

The LCM of 8 and 12 is 24.

Front

What is the LCM of 15 and 20?

Back

The LCM of 15 and 20 is 60.

Front

How do you calculate the LCM of three numbers?

Back

To calculate the LCM of three numbers, find the LCM of the first two numbers, then find the LCM of that result with the third number.

Front

What is the LCM of 7 and 14?

Back

The LCM of 7 and 14 is 14.

Front

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

Back

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