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Least Common Multiple (LCM) of 184 and 118

The least common multiple (LCM) of 184 and 118 is 10856.

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 184 and 118?

First, calculate the GCD of 184 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 118 = 1 remainder 66
2 118 ÷ 66 = 1 remainder 52
3 66 ÷ 52 = 1 remainder 14
4 52 ÷ 14 = 3 remainder 10
5 14 ÷ 10 = 1 remainder 4
6 10 ÷ 4 = 2 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 14504
80 and 180720
185 and 1907030
23 and 115115
116 and 1363944

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