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Least Common Multiple (LCM) of 171 and 55

The least common multiple (LCM) of 171 and 55 is 9405.

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 55?

First, calculate the GCD of 171 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 55 = 3 remainder 6
2 55 ÷ 6 = 9 remainder 1
3 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
144 and 13920016
52 and 19310036
111 and 15417094
102 and 703570
189 and 101890

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