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Least Common Multiple (LCM) of 171 and 110

The least common multiple (LCM) of 171 and 110 is 18810.

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 110?

First, calculate the GCD of 171 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 110 = 1 remainder 61
2 110 ÷ 61 = 1 remainder 49
3 61 ÷ 49 = 1 remainder 12
4 49 ÷ 12 = 4 remainder 1
5 12 ÷ 1 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
50 and 1979850
86 and 843612
193 and 193667
85 and 947990
27 and 892403

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