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Least Common Multiple (LCM) of 193 and 106

The least common multiple (LCM) of 193 and 106 is 20458.

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 193 and 106?

First, calculate the GCD of 193 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 193 ÷ 106 = 1 remainder 87
2 106 ÷ 87 = 1 remainder 19
3 87 ÷ 19 = 4 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
200 and 11723400
87 and 16414268
106 and 14742
161 and 491127
188 and 141564

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