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Least Common Multiple (LCM) of 116 and 92

The least common multiple (LCM) of 116 and 92 is 2668.

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 116 and 92?

First, calculate the GCD of 116 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 92 = 1 remainder 24
2 92 ÷ 24 = 3 remainder 20
3 24 ÷ 20 = 1 remainder 4
4 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 221298
169 and 10217238
70 and 16311410
183 and 875307
137 and 344658

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