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Least Common Multiple (LCM) of 171 and 127

The least common multiple (LCM) of 171 and 127 is 21717.

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 127?

First, calculate the GCD of 171 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 127 = 1 remainder 44
2 127 ÷ 44 = 2 remainder 39
3 44 ÷ 39 = 1 remainder 5
4 39 ÷ 5 = 7 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
65 and 1248060
145 and 527540
47 and 1848648
45 and 1851665
93 and 141302

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