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Least Common Multiple (LCM) of 122 and 28

The least common multiple (LCM) of 122 and 28 is 1708.

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 28?

First, calculate the GCD of 122 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 28 = 4 remainder 10
2 28 ÷ 10 = 2 remainder 8
3 10 ÷ 8 = 1 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 925428
89 and 201780
165 and 386270
22 and 19418
153 and 783978

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