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Least Common Multiple (LCM) of 189 and 176

The least common multiple (LCM) of 189 and 176 is 33264.

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 189 and 176?

First, calculate the GCD of 189 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 176 = 1 remainder 13
2 176 ÷ 13 = 13 remainder 7
3 13 ÷ 7 = 1 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 2008600
26 and 22286
37 and 1204440
176 and 356160
141 and 354935

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