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Least Common Multiple (LCM) of 18 and 200

The least common multiple (LCM) of 18 and 200 is 1800.

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 18 and 200?

First, calculate the GCD of 18 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 200 = 0 remainder 18
2 200 ÷ 18 = 11 remainder 2
3 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 129903
96 and 858160
96 and 1643936
54 and 472538
36 and 1471764

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