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Least Common Multiple (LCM) of 146 and 50

The least common multiple (LCM) of 146 and 50 is 3650.

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 146 and 50?

First, calculate the GCD of 146 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 50 = 2 remainder 46
2 50 ÷ 46 = 1 remainder 4
3 46 ÷ 4 = 11 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 16784
10 and 1470
38 and 1254750
113 and 13415142
107 and 485136

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