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Least Common Multiple (LCM) of 162 and 129

The least common multiple (LCM) of 162 and 129 is 6966.

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 162 and 129?

First, calculate the GCD of 162 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 162 ÷ 129 = 1 remainder 33
2 129 ÷ 33 = 3 remainder 30
3 33 ÷ 30 = 1 remainder 3
4 30 ÷ 3 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 15712874
91 and 42546
90 and 80720
186 and 20018600
148 and 562072

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