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Least Common Multiple (LCM) of 194 and 143

The least common multiple (LCM) of 194 and 143 is 27742.

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 194 and 143?

First, calculate the GCD of 194 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 143 = 1 remainder 51
2 143 ÷ 51 = 2 remainder 41
3 51 ÷ 41 = 1 remainder 10
4 41 ÷ 10 = 4 remainder 1
5 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 9612768
87 and 554785
35 and 1224270
76 and 1826916
186 and 16014880

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