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Least Common Multiple (LCM) of 166 and 196

The least common multiple (LCM) of 166 and 196 is 16268.

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 166 and 196?

First, calculate the GCD of 166 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 166 ÷ 196 = 0 remainder 166
2 196 ÷ 166 = 1 remainder 30
3 166 ÷ 30 = 5 remainder 16
4 30 ÷ 16 = 1 remainder 14
5 16 ÷ 14 = 1 remainder 2
6 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1036386
185 and 264810
173 and 233979
162 and 1925184
76 and 14110716

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