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Least Common Multiple (LCM) of 197 and 106

The least common multiple (LCM) of 197 and 106 is 20882.

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 197 and 106?

First, calculate the GCD of 197 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 106 = 1 remainder 91
2 106 ÷ 91 = 1 remainder 15
3 91 ÷ 15 = 6 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 11017710
139 and 13819182
139 and 12717653
62 and 1885828
174 and 746438

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