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Least Common Multiple (LCM) of 200 and 132

The least common multiple (LCM) of 200 and 132 is 6600.

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 132?

First, calculate the GCD of 200 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 200 ÷ 132 = 1 remainder 68
2 132 ÷ 68 = 1 remainder 64
3 68 ÷ 64 = 1 remainder 4
4 64 ÷ 4 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 15123103
186 and 17532550
149 and 7010430
169 and 549126
200 and 787800

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