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Least Common Multiple (LCM) of 161 and 76

The least common multiple (LCM) of 161 and 76 is 12236.

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 76?

First, calculate the GCD of 161 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 76 = 2 remainder 9
2 76 ÷ 9 = 8 remainder 4
3 9 ÷ 4 = 2 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 18913797
149 and 14421456
69 and 1006900
177 and 9416638
160 and 16927040

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