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Least Common Multiple (LCM) of 163 and 182

The least common multiple (LCM) of 163 and 182 is 29666.

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 163 and 182?

First, calculate the GCD of 163 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 182 = 0 remainder 163
2 182 ÷ 163 = 1 remainder 19
3 163 ÷ 19 = 8 remainder 11
4 19 ÷ 11 = 1 remainder 8
5 11 ÷ 8 = 1 remainder 3
6 8 ÷ 3 = 2 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 9515960
49 and 331617
122 and 151830
16 and 124496
179 and 15527745

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