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Least Common Multiple (LCM) of 171 and 141

The least common multiple (LCM) of 171 and 141 is 8037.

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 141?

First, calculate the GCD of 171 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 141 = 1 remainder 30
2 141 ÷ 30 = 4 remainder 21
3 30 ÷ 21 = 1 remainder 9
4 21 ÷ 9 = 2 remainder 3
5 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 362988
193 and 17333389
56 and 975432
17 and 831411
36 and 138828

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