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Least Common Multiple (LCM) of 124 and 144

The least common multiple (LCM) of 124 and 144 is 4464.

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 124 and 144?

First, calculate the GCD of 124 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 124 ÷ 144 = 0 remainder 124
2 144 ÷ 124 = 1 remainder 20
3 124 ÷ 20 = 6 remainder 4
4 20 ÷ 4 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 76380
188 and 1486956
179 and 264654
148 and 15522940
104 and 1965096

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