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Least Common Multiple (LCM) of 27 and 195

The least common multiple (LCM) of 27 and 195 is 1755.

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 27 and 195?

First, calculate the GCD of 27 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 27 ÷ 195 = 0 remainder 27
2 195 ÷ 27 = 7 remainder 6
3 27 ÷ 6 = 4 remainder 3
4 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1735017
111 and 12213542
120 and 382280
77 and 18514245
71 and 725112

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