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Least Common Multiple (LCM) of 132 and 197

The least common multiple (LCM) of 132 and 197 is 26004.

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 132 and 197?

First, calculate the GCD of 132 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 197 = 0 remainder 132
2 197 ÷ 132 = 1 remainder 65
3 132 ÷ 65 = 2 remainder 2
4 65 ÷ 2 = 32 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 18830644
178 and 20017800
119 and 17119
64 and 1825824
110 and 985390

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