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Least Common Multiple (LCM) of 16 and 44

The least common multiple (LCM) of 16 and 44 is 176.

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 16 and 44?

First, calculate the GCD of 16 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 44 = 0 remainder 16
2 44 ÷ 16 = 2 remainder 12
3 16 ÷ 12 = 1 remainder 4
4 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
16 and 26208
152 and 76152
185 and 17632560
172 and 1069116
28 and 46644

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