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Least Common Multiple (LCM) of 171 and 195

The least common multiple (LCM) of 171 and 195 is 11115.

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 195?

First, calculate the GCD of 171 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 171 ÷ 195 = 0 remainder 171
2 195 ÷ 171 = 1 remainder 24
3 171 ÷ 24 = 7 remainder 3
4 24 ÷ 3 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1004900
134 and 13518090
142 and 476674
179 and 18032220
136 and 762584

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