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Least Common Multiple (LCM) of 129 and 165

The least common multiple (LCM) of 129 and 165 is 7095.

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 129 and 165?

First, calculate the GCD of 129 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 129 ÷ 165 = 0 remainder 129
2 165 ÷ 129 = 1 remainder 36
3 129 ÷ 36 = 3 remainder 21
4 36 ÷ 21 = 1 remainder 15
5 21 ÷ 15 = 1 remainder 6
6 15 ÷ 6 = 2 remainder 3
7 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 161264
196 and 631764
82 and 312542
94 and 13112314
145 and 14120445

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