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Least Common Multiple (LCM) of 134 and 200

The least common multiple (LCM) of 134 and 200 is 13400.

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 200?

First, calculate the GCD of 134 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 200 = 0 remainder 134
2 200 ÷ 134 = 1 remainder 66
3 134 ÷ 66 = 2 remainder 2
4 66 ÷ 2 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
85 and 1502550
56 and 15840
62 and 1398618
163 and 7111573
36 and 132396

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