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Least Common Multiple (LCM) of 171 and 198

The least common multiple (LCM) of 171 and 198 is 3762.

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 198?

First, calculate the GCD of 171 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 198 = 0 remainder 171
2 198 ÷ 171 = 1 remainder 27
3 171 ÷ 27 = 6 remainder 9
4 27 ÷ 9 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 74962
190 and 173230
120 and 374440
177 and 14625842
180 and 1285760

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