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Least Common Multiple (LCM) of 132 and 200

The least common multiple (LCM) of 132 and 200 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 132 and 200?

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

Step-by-Step GCD Calculation

StepCalculation
1 132 ÷ 200 = 0 remainder 132
2 200 ÷ 132 = 1 remainder 68
3 132 ÷ 68 = 1 remainder 64
4 68 ÷ 64 = 1 remainder 4
5 64 ÷ 4 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 24552
99 and 1531683
152 and 558360
137 and 7610412
51 and 57969

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