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Least Common Multiple (LCM) of 24 and 177

The least common multiple (LCM) of 24 and 177 is 1416.

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 177?

First, calculate the GCD of 24 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 177 = 0 remainder 24
2 177 ÷ 24 = 7 remainder 9
3 24 ÷ 9 = 2 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
137 and 537261
90 and 1727740
189 and 35945
57 and 39741
17 and 921564

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