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Least Common Multiple (LCM) of 200 and 109

The least common multiple (LCM) of 200 and 109 is 21800.

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 200 and 109?

First, calculate the GCD of 200 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 109 = 1 remainder 91
2 109 ÷ 91 = 1 remainder 18
3 91 ÷ 18 = 5 remainder 1
4 18 ÷ 1 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
72 and 921656
17 and 891513
93 and 14813764
35 and 832905
186 and 392418

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