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Least Common Multiple (LCM) of 163 and 196

The least common multiple (LCM) of 163 and 196 is 31948.

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 196?

First, calculate the GCD of 163 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 163 ÷ 196 = 0 remainder 163
2 196 ÷ 163 = 1 remainder 33
3 163 ÷ 33 = 4 remainder 31
4 33 ÷ 31 = 1 remainder 2
5 31 ÷ 2 = 15 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 211995
39 and 1652145
111 and 899879
175 and 10618550
112 and 881232

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