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Least Common Multiple (LCM) of 161 and 181

The least common multiple (LCM) of 161 and 181 is 29141.

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 161 and 181?

First, calculate the GCD of 161 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 181 = 0 remainder 161
2 181 ÷ 161 = 1 remainder 20
3 161 ÷ 20 = 8 remainder 1
4 20 ÷ 1 = 20 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 14115792
152 and 32608
183 and 11821594
67 and 795293
121 and 18422264

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