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Least Common Multiple (LCM) of 47 and 189

The least common multiple (LCM) of 47 and 189 is 8883.

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 47 and 189?

First, calculate the GCD of 47 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 47 ÷ 189 = 0 remainder 47
2 189 ÷ 47 = 4 remainder 1
3 47 ÷ 1 = 47 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 951425
189 and 19212096
100 and 838300
19 and 1643116
48 and 1919168

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