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Least Common Multiple (LCM) of 181 and 64

The least common multiple (LCM) of 181 and 64 is 11584.

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 181 and 64?

First, calculate the GCD of 181 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 64 = 2 remainder 53
2 64 ÷ 53 = 1 remainder 11
3 53 ÷ 11 = 4 remainder 9
4 11 ÷ 9 = 1 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 9715229
134 and 946298
124 and 802480
169 and 274563
200 and 361800

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