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Least Common Multiple (LCM) of 11 and 122

The least common multiple (LCM) of 11 and 122 is 1342.

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 11 and 122?

First, calculate the GCD of 11 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 122 = 0 remainder 11
2 122 ÷ 11 = 11 remainder 1
3 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 1826916
85 and 17214620
13 and 981274
112 and 881232
38 and 841596

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