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Least Common Multiple (LCM) of 171 and 46

The least common multiple (LCM) of 171 and 46 is 7866.

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 46?

First, calculate the GCD of 171 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 46 = 3 remainder 33
2 46 ÷ 33 = 1 remainder 13
3 33 ÷ 13 = 2 remainder 7
4 13 ÷ 7 = 1 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 13926966
103 and 535459
140 and 19327020
129 and 14919221
117 and 536201

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