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Least Common Multiple (LCM) of 178 and 144

The least common multiple (LCM) of 178 and 144 is 12816.

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 178 and 144?

First, calculate the GCD of 178 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 144 = 1 remainder 34
2 144 ÷ 34 = 4 remainder 8
3 34 ÷ 8 = 4 remainder 2
4 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
166 and 18815604
45 and 1592385
126 and 617686
150 and 282100
55 and 12660

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