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Least Common Multiple (LCM) of 102 and 71

The least common multiple (LCM) of 102 and 71 is 7242.

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 102 and 71?

First, calculate the GCD of 102 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 71 = 1 remainder 31
2 71 ÷ 31 = 2 remainder 9
3 31 ÷ 9 = 3 remainder 4
4 9 ÷ 4 = 2 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 1884700
89 and 625518
10 and 110110
50 and 1984950
69 and 962208

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