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Least Common Multiple (LCM) of 197 and 164

The least common multiple (LCM) of 197 and 164 is 32308.

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 197 and 164?

First, calculate the GCD of 197 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 164 = 1 remainder 33
2 164 ÷ 33 = 4 remainder 32
3 33 ÷ 32 = 1 remainder 1
4 32 ÷ 1 = 32 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 131118
116 and 10512180
146 and 16524090
39 and 1231599
56 and 64448

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