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Least Common Multiple (LCM) of 121 and 111

The least common multiple (LCM) of 121 and 111 is 13431.

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 121 and 111?

First, calculate the GCD of 121 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 121 ÷ 111 = 1 remainder 10
2 111 ÷ 10 = 11 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 9819306
160 and 451440
44 and 154308
12 and 9696
47 and 1949118

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