LCM of 16 and 32 - Calculation Methods, FAQs and More

How to Calculate the LCM of 16 and 32

There are three main methods to calculate the LCM of 16 and 32:

• Prime Factorisation
• Division method
• Listing the multiples

Using the Prime Factorisation Method

In this method, we express the numbers as the product of prime numbers. For instance, 16 and 32 can be expressed as;

16 = 2 x 2 x 2 x 2

32 = 2 x 2 x 2 x 2 x 2

Therefore, LCM (16, 32) = 2 x 2 x 2 x 2 x 2 = 32

Using the Division Method

In this method, we write the numbers in a row and divide by the smallest number that divides all until we are left with prime numbers.

Using the Listing the Multiples Method

In this method, we list all the multiples of the given numbers and identify the first common multiple, which is the LCM. The multiples for 16 and 32 are:

LCM (16, 32) = 32

Further Reading

• LCM Calculator
• Understanding LCM with Examples
• Difference between HCF and LCM
• LCM Formula
• Prime Factorization and Division method

Examples

What is the smallest number that is divisible by both 8 and 16?

Answer: 16 is the smallest number that is divisible by both 8 and 16.

What is the LCM for 4, 16 and 32?

Answer: LCM for 4, 16 and 32 is 32.