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Least Common Multiple (LCM) of 194 and 30

The least common multiple (LCM) of 194 and 30 is 2910.

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 30?

First, calculate the GCD of 194 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 30 = 6 remainder 14
2 30 ÷ 14 = 2 remainder 2
3 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 10613886
72 and 1402520
127 and 16220574
42 and 49294
123 and 632583

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