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Least Common Multiple (LCM) of 71 and 13

The least common multiple (LCM) of 71 and 13 is 923.

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 71 and 13?

First, calculate the GCD of 71 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 13 = 5 remainder 6
2 13 ÷ 6 = 2 remainder 1
3 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 147441
178 and 847476
195 and 7915405
172 and 642752
81 and 1261134

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