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Least Common Multiple (LCM) of 171 and 68

The least common multiple (LCM) of 171 and 68 is 11628.

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 68?

First, calculate the GCD of 171 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 68 = 2 remainder 35
2 68 ÷ 35 = 1 remainder 33
3 35 ÷ 33 = 1 remainder 2
4 33 ÷ 2 = 16 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
40 and 821640
96 and 993168
104 and 542808
174 and 842436
144 and 1838784

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