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Least Common Multiple (LCM) of 200 and 99

The least common multiple (LCM) of 200 and 99 is 19800.

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 99?

First, calculate the GCD of 200 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 99 = 2 remainder 2
2 99 ÷ 2 = 49 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 12311685
81 and 1981782
114 and 683876
177 and 18610974
26 and 1513926

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