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Least Common Multiple (LCM) of 146 and 65

The least common multiple (LCM) of 146 and 65 is 9490.

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 65?

First, calculate the GCD of 146 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 146 ÷ 65 = 2 remainder 16
2 65 ÷ 16 = 4 remainder 1
3 16 ÷ 1 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
116 and 1885452
31 and 1645084
75 and 533975
198 and 14528710
184 and 12552

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