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Least Common Multiple (LCM) of 134 and 178

The least common multiple (LCM) of 134 and 178 is 11926.

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 178?

First, calculate the GCD of 134 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 178 = 0 remainder 134
2 178 ÷ 134 = 1 remainder 44
3 134 ÷ 44 = 3 remainder 2
4 44 ÷ 2 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 10518795
49 and 1698281
54 and 19710638
63 and 91819
27 and 1313537

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