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Least Common Multiple (LCM) of 134 and 163

The least common multiple (LCM) of 134 and 163 is 21842.

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 134 and 163?

First, calculate the GCD of 134 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 163 = 0 remainder 134
2 163 ÷ 134 = 1 remainder 29
3 134 ÷ 29 = 4 remainder 18
4 29 ÷ 18 = 1 remainder 11
5 18 ÷ 11 = 1 remainder 7
6 11 ÷ 7 = 1 remainder 4
7 7 ÷ 4 = 1 remainder 3
8 4 ÷ 3 = 1 remainder 1
9 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
128 and 422688
22 and 1894158
51 and 691173
149 and 18727863
107 and 18219474

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