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Least Common Multiple (LCM) of 145 and 184

The least common multiple (LCM) of 145 and 184 is 26680.

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 145 and 184?

First, calculate the GCD of 145 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 184 = 0 remainder 145
2 184 ÷ 145 = 1 remainder 39
3 145 ÷ 39 = 3 remainder 28
4 39 ÷ 28 = 1 remainder 11
5 28 ÷ 11 = 2 remainder 6
6 11 ÷ 6 = 1 remainder 5
7 6 ÷ 5 = 1 remainder 1
8 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 18214924
53 and 1025406
168 and 1282688
33 and 1892079
83 and 534399

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