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Least Common Multiple (LCM) of 134 and 68

The least common multiple (LCM) of 134 and 68 is 4556.

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 68?

First, calculate the GCD of 134 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 68 = 1 remainder 66
2 68 ÷ 66 = 1 remainder 2
3 66 ÷ 2 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 2008600
98 and 18317934
75 and 1383450
26 and 852210
51 and 733723

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