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Least Common Multiple (LCM) of 133 and 42

The least common multiple (LCM) of 133 and 42 is 798.

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 42?

First, calculate the GCD of 133 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 42 = 3 remainder 7
2 42 ÷ 7 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 100700
22 and 1753850
83 and 857055
12 and 156156
188 and 18134028

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