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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
68 and 1745916
156 and 803120
159 and 477473
49 and 251225
179 and 11821122

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