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Least Common Multiple (LCM) of 133 and 126

The least common multiple (LCM) of 133 and 126 is 2394.

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 133 and 126?

First, calculate the GCD of 133 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 126 = 1 remainder 7
2 126 ÷ 7 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
116 and 1765104
168 and 463864
41 and 652665
146 and 19127886
58 and 601740

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