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Least Common Multiple (LCM) of 128 and 22

The least common multiple (LCM) of 128 and 22 is 1408.

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 128 and 22?

First, calculate the GCD of 128 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 128 ÷ 22 = 5 remainder 18
2 22 ÷ 18 = 1 remainder 4
3 18 ÷ 4 = 4 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 18325986
81 and 1219801
200 and 479400
155 and 7611780
89 and 14012460

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