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Least Common Multiple (LCM) of 171 and 133

The least common multiple (LCM) of 171 and 133 is 1197.

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 171 and 133?

First, calculate the GCD of 171 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 133 = 1 remainder 38
2 133 ÷ 38 = 3 remainder 19
3 38 ÷ 19 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
199 and 9518905
116 and 1043016
59 and 18010620
82 and 2008200
160 and 19931840

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