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Least Common Multiple (LCM) of 161 and 58

The least common multiple (LCM) of 161 and 58 is 9338.

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 58?

First, calculate the GCD of 161 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 58 = 2 remainder 45
2 58 ÷ 45 = 1 remainder 13
3 45 ÷ 13 = 3 remainder 6
4 13 ÷ 6 = 2 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 732336
177 and 12221594
119 and 17220468
178 and 16814952
35 and 1485180

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