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Least Common Multiple (LCM) of 18 and 111

The least common multiple (LCM) of 18 and 111 is 666.

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 111?

First, calculate the GCD of 18 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 111 = 0 remainder 18
2 111 ÷ 18 = 6 remainder 3
3 18 ÷ 3 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
64 and 311984
182 and 7914378
40 and 13520
59 and 543186
85 and 17414790

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