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Least Common Multiple (LCM) of 88 and 192

The least common multiple (LCM) of 88 and 192 is 2112.

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 88 and 192?

First, calculate the GCD of 88 and 192 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 88 ÷ 192 = 0 remainder 88
2 192 ÷ 88 = 2 remainder 16
3 88 ÷ 16 = 5 remainder 8
4 16 ÷ 8 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
71 and 15210792
163 and 12520375
185 and 18333855
48 and 501200
195 and 351365

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