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Least Common Multiple (LCM) of 119 and 184

The least common multiple (LCM) of 119 and 184 is 21896.

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 119 and 184?

First, calculate the GCD of 119 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 184 = 0 remainder 119
2 184 ÷ 119 = 1 remainder 65
3 119 ÷ 65 = 1 remainder 54
4 65 ÷ 54 = 1 remainder 11
5 54 ÷ 11 = 4 remainder 10
6 11 ÷ 10 = 1 remainder 1
7 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
171 and 36684
158 and 172686
192 and 815184
90 and 2001800
47 and 18846

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