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Least Common Multiple (LCM) of 26 and 69

The least common multiple (LCM) of 26 and 69 is 1794.

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 26 and 69?

First, calculate the GCD of 26 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 69 = 0 remainder 26
2 69 ÷ 26 = 2 remainder 17
3 26 ÷ 17 = 1 remainder 9
4 17 ÷ 9 = 1 remainder 8
5 9 ÷ 8 = 1 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 19036670
164 and 6510660
185 and 7313505
146 and 10715622
179 and 15127029

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