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Least Common Multiple (LCM) of 71 and 93

The least common multiple (LCM) of 71 and 93 is 6603.

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 93?

First, calculate the GCD of 71 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 93 = 0 remainder 71
2 93 ÷ 71 = 1 remainder 22
3 71 ÷ 22 = 3 remainder 5
4 22 ÷ 5 = 4 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 662508
160 and 16726720
171 and 9816758
195 and 18311895
23 and 531219

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