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Least Common Multiple (LCM) of 165 and 38

The least common multiple (LCM) of 165 and 38 is 6270.

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 165 and 38?

First, calculate the GCD of 165 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 38 = 4 remainder 13
2 38 ÷ 13 = 2 remainder 12
3 13 ÷ 12 = 1 remainder 1
4 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 12018120
78 and 803120
73 and 15711461
126 and 1142394
132 and 1043432

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