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Least Common Multiple (LCM) of 134 and 86

The least common multiple (LCM) of 134 and 86 is 5762.

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 134 and 86?

First, calculate the GCD of 134 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 86 = 1 remainder 48
2 86 ÷ 48 = 1 remainder 38
3 48 ÷ 38 = 1 remainder 10
4 38 ÷ 10 = 3 remainder 8
5 10 ÷ 8 = 1 remainder 2
6 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1161276
169 and 7913351
123 and 1566396
54 and 1833294
102 and 1081836

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