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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
157 and 11518055
161 and 19731717
25 and 20100
188 and 18534780
24 and 711704

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