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Least Common Multiple (LCM) of 26 and 41

The least common multiple (LCM) of 26 and 41 is 1066.

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 41?

First, calculate the GCD of 26 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 41 = 0 remainder 26
2 41 ÷ 26 = 1 remainder 15
3 26 ÷ 15 = 1 remainder 11
4 15 ÷ 11 = 1 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
117 and 21819
180 and 36180
81 and 1441296
162 and 108324
68 and 16911492

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