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Least Common Multiple (LCM) of 171 and 164

The least common multiple (LCM) of 171 and 164 is 28044.

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 164?

First, calculate the GCD of 171 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 164 = 1 remainder 7
2 164 ÷ 7 = 23 remainder 3
3 7 ÷ 3 = 2 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 131560
68 and 1545236
183 and 16630378
29 and 1444176
70 and 80560

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