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Least Common Multiple (LCM) of 31 and 165

The least common multiple (LCM) of 31 and 165 is 5115.

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 31 and 165?

First, calculate the GCD of 31 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 31 ÷ 165 = 0 remainder 31
2 165 ÷ 31 = 5 remainder 10
3 31 ÷ 10 = 3 remainder 1
4 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
125 and 10613250
150 and 1175850
37 and 833071
200 and 50200
29 and 16464

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