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Least Common Multiple (LCM) of 22 and 117

The least common multiple (LCM) of 22 and 117 is 2574.

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 22 and 117?

First, calculate the GCD of 22 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 117 = 0 remainder 22
2 117 ÷ 22 = 5 remainder 7
3 22 ÷ 7 = 3 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 383686
154 and 599086
144 and 342448
129 and 1385934
184 and 14125944

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