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Least Common Multiple (LCM) of 123 and 128

The least common multiple (LCM) of 123 and 128 is 15744.

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 123 and 128?

First, calculate the GCD of 123 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 128 = 0 remainder 123
2 128 ÷ 123 = 1 remainder 5
3 123 ÷ 5 = 24 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
112 and 864816
139 and 152085
107 and 687276
199 and 19438606
81 and 16413284

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