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Least Common Multiple (LCM) of 102 and 26

The least common multiple (LCM) of 102 and 26 is 1326.

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 102 and 26?

First, calculate the GCD of 102 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 26 = 3 remainder 24
2 26 ÷ 24 = 1 remainder 2
3 24 ÷ 2 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 17310207
97 and 868342
192 and 13325536
122 and 799638
121 and 1982178

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