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Least Common Multiple (LCM) of 183 and 117

The least common multiple (LCM) of 183 and 117 is 7137.

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 183 and 117?

First, calculate the GCD of 183 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 117 = 1 remainder 66
2 117 ÷ 66 = 1 remainder 51
3 66 ÷ 51 = 1 remainder 15
4 51 ÷ 15 = 3 remainder 6
5 15 ÷ 6 = 2 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 1388142
141 and 12517625
167 and 10217034
73 and 18113213
199 and 6813532

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