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Least Common Multiple (LCM) of 34 and 26

The least common multiple (LCM) of 34 and 26 is 442.

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 34 and 26?

First, calculate the GCD of 34 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 26 = 1 remainder 8
2 26 ÷ 8 = 3 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 1862418
146 and 967008
134 and 577638
139 and 9813622
67 and 1067102

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