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Least Common Multiple (LCM) of 200 and 104

The least common multiple (LCM) of 200 and 104 is 2600.

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 104?

First, calculate the GCD of 200 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 104 = 1 remainder 96
2 104 ÷ 96 = 1 remainder 8
3 96 ÷ 8 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 1019999
64 and 674288
125 and 1804500
173 and 12621798
125 and 12916125

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