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Least Common Multiple (LCM) of 85 and 195

The least common multiple (LCM) of 85 and 195 is 3315.

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 85 and 195?

First, calculate the GCD of 85 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 195 = 0 remainder 85
2 195 ÷ 85 = 2 remainder 25
3 85 ÷ 25 = 3 remainder 10
4 25 ÷ 10 = 2 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 1267686
191 and 16230942
169 and 39507
172 and 16127692
36 and 126252

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