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Least Common Multiple (LCM) of 26 and 169

The least common multiple (LCM) of 26 and 169 is 338.

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 169?

First, calculate the GCD of 26 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 169 = 0 remainder 26
2 169 ÷ 26 = 6 remainder 13
3 26 ÷ 13 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 21672
92 and 373404
15 and 96480
30 and 892670
117 and 19923283

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