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Least Common Multiple (LCM) of 69 and 66

The least common multiple (LCM) of 69 and 66 is 1518.

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 69 and 66?

First, calculate the GCD of 69 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 69 ÷ 66 = 1 remainder 3
2 66 ÷ 3 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 14914751
130 and 18123530
138 and 402760
63 and 1232583
116 and 9911484

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