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Least Common Multiple (LCM) of 32 and 17

The least common multiple (LCM) of 32 and 17 is 544.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 32 and 17?

First, calculate the GCD of 32 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 17 = 1 remainder 15
2 17 ÷ 15 = 1 remainder 2
3 15 ÷ 2 = 7 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 1767216
92 and 663036
171 and 11820178
189 and 45945
40 and 913640

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