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Least Common Multiple (LCM) of 183 and 146

The least common multiple (LCM) of 183 and 146 is 26718.

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 146?

First, calculate the GCD of 183 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 183 ÷ 146 = 1 remainder 37
2 146 ÷ 37 = 3 remainder 35
3 37 ÷ 35 = 1 remainder 2
4 35 ÷ 2 = 17 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 301290
77 and 18814476
78 and 372886
55 and 1749570
96 and 571824

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