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Least Common Multiple (LCM) of 118 and 184

The least common multiple (LCM) of 118 and 184 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 118 and 184?

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

Step-by-Step GCD Calculation

StepCalculation
1 118 ÷ 184 = 0 remainder 118
2 184 ÷ 118 = 1 remainder 66
3 118 ÷ 66 = 1 remainder 52
4 66 ÷ 52 = 1 remainder 14
5 52 ÷ 14 = 3 remainder 10
6 14 ÷ 10 = 1 remainder 4
7 10 ÷ 4 = 2 remainder 2
8 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 447876
13 and 38494
76 and 10380
156 and 562184
198 and 262574

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