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Least Common Multiple (LCM) of 134 and 13

The least common multiple (LCM) of 134 and 13 is 1742.

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 134 and 13?

First, calculate the GCD of 134 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 13 = 10 remainder 4
2 13 ÷ 4 = 3 remainder 1
3 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 1408260
103 and 13113493
126 and 19724822
83 and 967968
76 and 15912084

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