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Least Common Multiple (LCM) of 194 and 40

The least common multiple (LCM) of 194 and 40 is 3880.

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 40?

First, calculate the GCD of 194 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 194 ÷ 40 = 4 remainder 34
2 40 ÷ 34 = 1 remainder 6
3 34 ÷ 6 = 5 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 452205
51 and 14714
96 and 1354320
177 and 315487
119 and 119119

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