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Least Common Multiple (LCM) of 46 and 16

The least common multiple (LCM) of 46 and 16 is 368.

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 46 and 16?

First, calculate the GCD of 46 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 16 = 2 remainder 14
2 16 ÷ 14 = 1 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 1314716
176 and 7112496
192 and 18735904
105 and 1822730
104 and 18919656

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