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Least Common Multiple (LCM) of 66 and 16

The least common multiple (LCM) of 66 and 16 is 528.

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 66 and 16?

First, calculate the GCD of 66 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 16 = 4 remainder 2
2 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 391170
195 and 483120
159 and 753975
188 and 397332
148 and 1269324

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