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Least Common Multiple (LCM) of 83 and 159

The least common multiple (LCM) of 83 and 159 is 13197.

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 83 and 159?

First, calculate the GCD of 83 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 159 = 0 remainder 83
2 159 ÷ 83 = 1 remainder 76
3 83 ÷ 76 = 1 remainder 7
4 76 ÷ 7 = 10 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 17426274
73 and 392847
58 and 452610
54 and 1945238
97 and 16215714

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