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Least Common Multiple (LCM) of 24 and 185

The least common multiple (LCM) of 24 and 185 is 4440.

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 185?

First, calculate the GCD of 24 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 185 = 0 remainder 24
2 185 ÷ 24 = 7 remainder 17
3 24 ÷ 17 = 1 remainder 7
4 17 ÷ 7 = 2 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 805840
147 and 1085292
19 and 1172223
16 and 831328
91 and 13812558

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