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Least Common Multiple (LCM) of 24 and 124

The least common multiple (LCM) of 24 and 124 is 744.

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 24 and 124?

First, calculate the GCD of 24 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 124 = 0 remainder 24
2 124 ÷ 24 = 5 remainder 4
3 24 ÷ 4 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 1591590
64 and 18576
20 and 43860
194 and 20019400
190 and 16330970

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