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Least Common Multiple (LCM) of 134 and 174

The least common multiple (LCM) of 134 and 174 is 11658.

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 174?

First, calculate the GCD of 134 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 174 = 0 remainder 134
2 174 ÷ 134 = 1 remainder 40
3 134 ÷ 40 = 3 remainder 14
4 40 ÷ 14 = 2 remainder 12
5 14 ÷ 12 = 1 remainder 2
6 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
96 and 1414512
38 and 44836
160 and 463680
64 and 935952
132 and 496468

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