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Least Common Multiple (LCM) of 44 and 178

The least common multiple (LCM) of 44 and 178 is 3916.

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 44 and 178?

First, calculate the GCD of 44 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 178 = 0 remainder 44
2 178 ÷ 44 = 4 remainder 2
3 44 ÷ 2 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
180 and 1856660
198 and 1504950
38 and 311178
23 and 992277
67 and 513417

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