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Least Common Multiple (LCM) of 59 and 177

The least common multiple (LCM) of 59 and 177 is 177.

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 59 and 177?

First, calculate the GCD of 59 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 177 = 0 remainder 59
2 177 ÷ 59 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 292871
122 and 18923058
61 and 18211102
30 and 192960
126 and 192394

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