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Least Common Multiple (LCM) of 171 and 168

The least common multiple (LCM) of 171 and 168 is 9576.

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 168?

First, calculate the GCD of 171 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 168 = 1 remainder 3
2 168 ÷ 3 = 56 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 986762
71 and 15110721
74 and 10370
104 and 1281664
127 and 567112

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