Understanding Least Common Multiple (LCM)

The video tutorial explains how to find the least common multiple (LCM) of two numbers using two methods: listing multiples and prime factorization. It provides examples of finding the LCM for pairs of numbers, specifically 16 and 18, and 72 and 54, using the prime factorization method. The tutorial emphasizes identifying unique prime factors and raising them to the highest power found in either number's factorization.

What is the least common multiple (LCM) of two numbers?

• The smallest number that is a multiple of both numbers

• The difference between the two numbers

• The largest number that divides both numbers

• The sum of the two numbers

Which method involves listing multiples to find the LCM?

• Subtraction method

• Listing method

• Prime factorization

• Division method

What is the prime factorization of 16?

• 3 x 3

• 2 x 2 x 2 x 2

• 2 x 3

• 2 x 2 x 2

How many times does the factor 2 appear in the prime factorization of 16?

• Five times

• Three times

• Two times

• Four times

What is the LCM of 16 and 18?

• 72

• 144

• 36

• 54

What is the first step in finding the LCM of 72 and 54 using prime factorization?

• Find the prime factors

• Subtract the numbers

• List the multiples

• Add the numbers

How many factors of 3 are there in the prime factorization of 54?

• Four

• One

• Two

• Three

What is the LCM of 72 and 54?

• 108

• 216

• 144

• 72

Which factor is raised to the third power in the LCM of 72 and 54?

• Factor 5

• Factor 7

• Factor 2

• Factor 3

What is the product of 2 to the third power and 3 to the third power?

• 216

• 72

• 54

• 144