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Least Common Multiple (LCM) of 181 and 189

The least common multiple (LCM) of 181 and 189 is 34209.

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 181 and 189?

First, calculate the GCD of 181 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 189 = 0 remainder 181
2 189 ÷ 181 = 1 remainder 8
3 181 ÷ 8 = 22 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 17930430
30 and 1522280
191 and 12323493
117 and 354095
161 and 1333059

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