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Least Common Multiple (LCM) of 123 and 124

The least common multiple (LCM) of 123 and 124 is 15252.

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 124?

First, calculate the GCD of 123 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 124 = 0 remainder 123
2 124 ÷ 123 = 1 remainder 1
3 123 ÷ 1 = 123 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 961824
81 and 16113041
124 and 496076
183 and 19736051
74 and 977178

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