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Least Common Multiple (LCM) of 26 and 11

The least common multiple (LCM) of 26 and 11 is 286.

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 11?

First, calculate the GCD of 26 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 11 = 2 remainder 4
2 11 ÷ 4 = 2 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 6311277
140 and 11315820
42 and 861806
81 and 19015390
188 and 746956

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