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Least Common Multiple (LCM) of 189 and 111

The least common multiple (LCM) of 189 and 111 is 6993.

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 189 and 111?

First, calculate the GCD of 189 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 111 = 1 remainder 78
2 111 ÷ 78 = 1 remainder 33
3 78 ÷ 33 = 2 remainder 12
4 33 ÷ 12 = 2 remainder 9
5 12 ÷ 9 = 1 remainder 3
6 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 1189676
145 and 17325085
87 and 992871
26 and 42546
152 and 1763344

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