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Least Common Multiple (LCM) of 122 and 19

The least common multiple (LCM) of 122 and 19 is 2318.

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 122 and 19?

First, calculate the GCD of 122 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 19 = 6 remainder 8
2 19 ÷ 8 = 2 remainder 3
3 8 ÷ 3 = 2 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 271161
131 and 8210742
115 and 11413110
53 and 1739169
41 and 612501

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