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Least Common Multiple (LCM) of 171 and 138

The least common multiple (LCM) of 171 and 138 is 7866.

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 138?

First, calculate the GCD of 171 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 138 = 1 remainder 33
2 138 ÷ 33 = 4 remainder 6
3 33 ÷ 6 = 5 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
46 and 371702
55 and 1447920
195 and 14628470
13 and 1471911
105 and 1822730

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