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Least Common Multiple (LCM) of 168 and 165

The least common multiple (LCM) of 168 and 165 is 9240.

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 168 and 165?

First, calculate the GCD of 168 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 168 ÷ 165 = 1 remainder 3
2 165 ÷ 3 = 55 remainder 0

Examples of LCM Calculations

NumbersLCM
113 and 677571
168 and 1727224
78 and 15712246
98 and 18518130
162 and 403240

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