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Least Common Multiple (LCM) of 54 and 122

The least common multiple (LCM) of 54 and 122 is 3294.

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 54 and 122?

First, calculate the GCD of 54 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 54 ÷ 122 = 0 remainder 54
2 122 ÷ 54 = 2 remainder 14
3 54 ÷ 14 = 3 remainder 12
4 14 ÷ 12 = 1 remainder 2
5 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 878265
95 and 282660
97 and 141358
110 and 1025610
126 and 1288064

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