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Least Common Multiple (LCM) of 55 and 111

The least common multiple (LCM) of 55 and 111 is 6105.

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 55 and 111?

First, calculate the GCD of 55 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 111 = 0 remainder 55
2 111 ÷ 55 = 2 remainder 1
3 55 ÷ 1 = 55 remainder 0

Examples of LCM Calculations

NumbersLCM
89 and 524628
34 and 1061802
192 and 464416
158 and 927268
60 and 1424260

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