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Least Common Multiple (LCM) of 171 and 31

The least common multiple (LCM) of 171 and 31 is 5301.

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 171 and 31?

First, calculate the GCD of 171 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 31 = 5 remainder 16
2 31 ÷ 16 = 1 remainder 15
3 16 ÷ 15 = 1 remainder 1
4 15 ÷ 1 = 15 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 24456
35 and 112560
197 and 5310441
58 and 1925568
16 and 9696

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