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Least Common Multiple (LCM) of 194 and 59

The least common multiple (LCM) of 194 and 59 is 11446.

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 59?

First, calculate the GCD of 194 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 59 = 3 remainder 17
2 59 ÷ 17 = 3 remainder 8
3 17 ÷ 8 = 2 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 12821376
10 and 1680
49 and 1366664
137 and 15921783
136 and 14519720

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